{"id":40891,"date":"2024-02-19T07:27:00","date_gmt":"2024-02-19T01:57:00","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=40891"},"modified":"2024-02-19T12:34:12","modified_gmt":"2024-02-19T07:04:12","slug":"plus-one-maths-chapter-wise-previous-questions-chapter-3","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-3\/","title":{"rendered":"Plus One Maths Chapter Wise Previous Questions Chapter 3 Trigonometric Functions"},"content":{"rendered":"

Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 3 Trigonometric Functions<\/h2>\n

Plus One Maths Trigonometric Functions 3 Marks Important Questions<\/h3>\n

Question 1.
\ni) Find the degree measure corresponding to \\(\\frac { 11 }{ 14 }\\) radians.( use \u03c0 = \\(\\frac { 22 }{ 7 }\\)) (MARCH-2010)<\/span>
\nii) If cos x = \\(\\frac { -1 }{ 2 }\\), x lies in the third quadrant,find sin x and tan x
\nAnswer:
\ni) Degree measure corresponding to \\(\\frac { 11 }{ 14 }\\) radians
\n= \\(\\frac{11}{14} \\times \\frac{180}{\\pi}=\\frac{11}{14} \\times \\frac{180 \\times 7}{22}=\\frac{1}{2} \\times \\frac{180}{2}=45^{\\circ}\\)
\nii) since x lies in the third quadrant
\n\"Plus
\nsin x = –\\(\\frac{\\sqrt{3}}{2}\\)
\ntan x = \u221a3<\/p>\n

Question 2.
\nprove that\u00a0(MARCH-2010)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 3.
\nShowthat (cos x + cos y)\u00b2 +(sin x + sin y)\u00b2 =\\(4 \\cos ^{2}\\left(\\frac{x-y}{2}\\right)\\)\u00a0(MARCH-2011)<\/span>
\nAnswer:
\n(cos x + cos y)\u00b2 + (sin x + sin y)\u00b2
\n= cos\u00b2 x + cos\u00b2 y + 2cosx cosy + sin\u00b2 x + sin\u00b2 y + 2 sin x sin y
\n= 1+ 1 + 2(cosxcosy + sinxsiny)
\n= 2 + 2cos(x – y) = 2(1 + cos(x – y))
\n= \\(4 \\cos ^{2}\\left(\\frac{x-y}{2}\\right)\\)<\/p>\n

Question 4.
\nprove that\u00a0(MARCH-2013)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 5.
\nConsider the trigonometric equation tan x = \u221a3\u00a0(IMP-2013)<\/span>
\ni) Write the general solution.
\nii) Write the principal solution.
\nAnswer:
\n\"Plus<\/p>\n

Question 6.
\ni) The value of sin(\u03c0 – x) is _______.\u00a0(MARCH-2014)<\/span>
\nii) Find the principal and general solution of the equation sin x = \\(\\frac { \u221a3 }{ 2 }\\)
\nAnswer:
\ni) sin x
\nii)
\n\"Plus<\/p>\n

Question 7.
\nprove that\u00a0(MARCH-2014)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 8.
\ni) 1 + tan\u00b2 x = _______.\u00a0(IMP-2014)<\/span>
\nii) If sin x = \\(\\frac { 3 }{ 5 }\\) and x lies in the second quadrant, find the values of cosx, tan x and secx.
\nAnswer:
\ni) sec\u00b2 x
\nii)
\n\"Plus<\/p>\n

Plus One Maths Trigonometric Functions 4 Marks Important Questions<\/h3>\n

Question 1.
\nExpand cos(x + y) and hence prove\u00a0(IMP-2010)<\/span>
\ni) cos 2x = 1 – 2sin\u00b2 x
\nii) Solve the equation tan\u00b2 \u03b8 + cot\u00b2 \u03b8 = 2
\nAnswer:
\ni) cos(x + y) = cos x cos y \u2014 sinx sin y
\nPut y = x
\ncos(x + x) = cos x cosx – sin x sin x
\n=> cos(2x) = cos\u00b2 x – sin\u00b2 x
\n=> cos(2x) = 1 – sin\u00b2 x – sin\u00b2 x = 1 – 2sin\u00b2 x
\nii)
\n\"Plus<\/p>\n

Question 2.
\nShow that\u00a0(IMP-2010)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 3.
\ni) Find the value of sin(\\(\\frac { 31\u03c0 }{ 3 }\\))\u00a0(MARCH-2011)<\/span>
\nii) Find the principle and general solution of the equation cos x = \\(\\frac {-\u221a3 }{ 2 }\\)
\nAnswer:
\n\"Plus
\n\"Plus<\/p>\n

Question 4.
\nSolve: sin 2x – sin 4x + sin 6x = 0\u00a0(IMP-2012)<\/span>
\nAnswer:
\nsin 2x + sin 6x – sin 4x = 0
\n=> 2sin4xcos2x – sin4x = 0
\n=> sin4x(2cos2x – 1) = 0
\n=>sin4x = 0 or (2cos2x – 1) = 0
\n\"Plus<\/p>\n

Question 5.
\ntan x tan 2x tan 3x = tan 3x – tan 2x – tan x\u00a0(IMP-2012)<\/span>
\nAnswer:
\nWe have; 3x= 2x + x
\nTake tan on both sides;
\n\"Plus
\ntan 3x(1 – tan 2x tan x) = tan 2x + tan x
\ntan 3x- tan 3x tan 2x tan x = tan 2x + tan x
\ntan x tan 2x tan 3x = tan 3x – tan 2x – tan x<\/p>\n

Question 6.
\ni) Evaluate tan(\\(\\frac {13\u03c0 }{ 6 }\\))\u00a0(MARCH-2012)<\/span>
\nii) If tan x = \\(\\frac {1 }{ 2 }\\) and x is in the third quadrant, find sinx and cosx.
\nAnswer:
\n\"Plus<\/p>\n

Question 7.
\nProve that\u00a0(MARCH-2012)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 8.
\ni) \\(\\frac {tan x + tan y}{ 1 – tan x tan y }\\) = _________.\u00a0(MARCH-2013)<\/span>
\nii) Prove that
\n\"Plus
\nAnswer:
\ni) tan(x + y)
\nii)
\n\"Plus<\/p>\n

Question 9.
\nMatch the following:\u00a0(MARCH-2013)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 10.
\ni) Prove that\u00a0(MARCH-2013)<\/span>
\n\"Plus
\nii) Prove that
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 11.
\nShow that\u00a0(IMP-2013)<\/span>
\ni) tan 15\u00b0=2-\u221a3
\nii) tan 15\u00b0+cot 15\u00b0 = 4
\nAnswer:
\ni)
\n\"Plus
\nii)
\n\"Plus<\/p>\n

Question 12.
\ni) Prove that\u00a0(MARCH-2014)<\/span>
\n\"Plus
\nii)
\n\"Plus
\nAnswer:
\ni)<\/strong>
\n\"Plus
\n\"Plus<\/p>\n

Question 13.
\ni) If tan x = \\(\\frac {3 }{ 4 }\\); x lies in the third quadrant,
\nfind the value of cos x.\u00a0(MARCH-2014)<\/span>
\nii) Find the principal and general solution of cos x = \\(\\frac {1 }{ 2 }\\)
\nAnswer:
\ni) Since x lies in the third quadrant
\n\"Plus<\/p>\n

Plus One Maths Trigonometric Functions 6 Marks Important Questions<\/h3>\n

Question 1.
\ni) Write the value of\u00a0(IMP-2011)<\/span>
\nsin 600\u00b0; cos 330\u00b0; cos 120\u00b0; sin 150\u00b0
\nii) Prove that
\nsin 600\u00b0 cos330\u00b0 +cos120\u00b0 sin 150\u00b0 + sin 180\u00b0 cos 180\u00b0 = -1
\nAnswer:
\n\"Plus<\/p>\n

Question 2.
\ni) Find the value of sin 75\u00b0\u00a0(IMP-2012)<\/span>
\nii) Prove that
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 3.
\ni) \\(\\frac {2\u03c0 }{ 3 }\\) radians = ______ degree.(IMP-2014)<\/span>
\nii) cos(2\u03c0 – x) = _______
\niii) Find the general solution of sin 2x – sin 4x + sin 6x = 0
\nAnswer:
\ni) 120\u00b0
\nii) cos x
\niii)
\n\"Plus<\/p>\n

Question 4.
\ni) sin x cos y + cos x sin y = ______.\u00a0(IMP-2014)<\/span>
\nii) Find sin 50\u00b0 cos 10\u00b0 + cos50\u00b0 sin10\u00b0
\niii) Prove that
\n\"Plus
\nAnswer:
\ni) sin(x + y)
\nii) sin 50\u00b0 cos 10\u00b0 + cos 50\u00b0 cos 10\u00b0
\n= sin(50\u00b0 +10\u00b0) = sin(60\u00b0) = \\(\\frac {\u221a3 }{ 2 }\\)
\niii)
\n\"Plus<\/p>\n

Question 5.
\ni) Which one of the following values of sin x is incorrect?\u00a0(MARCH-2015)<\/span>
\na) 0
\nb) \\(\\frac {1 }{ 2 }\\)
\nc) 3
\nd) 1
\nii) Prove that
\n\"Plus
\niii) A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground making an angle 30\u00b0 with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
\nAnswer:
\ni) 3
\nii)
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 6.
\ni) sin 225\u00b0 = _______.(MARCH-2015)<\/span>
\n\"Plus
\nii) Find the principle and general solutions of sin x = – \\(\\frac {\u221a3 }{ 2 }\\)
\niii) Prove that
\n\"Plus
\nAnswer:
\ni) \\(\\frac {- 1 }{ \u221a2 }\\)
\nii)
\n\"Plus
\niii)
\n\"Plus
\n\"Plus<\/p>\n

Question 7.
\ni) Which of the equal to 520\u00b0 ?\u00a0(IMP-2015)<\/span>
\n\"Plus
\nii) Solve Sin 2x – Sin 4x + Sin 6x = 0.
\niii) In any triangle ABC, prove that
\n\"Plus
\nAnswer:
\ni) \\(\\frac { 26\u03c0 }{ 6 }\\)
\nii)
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 8.
\ni) The degree measure of \\(\\frac { 7\u03c0 }{ 6 }\\) radian is _____.\u00a0(MARCH-2016)<\/span>
\n(a) 120\u00b0 (b) 102\u00b0 (c) 201\u00b0 (d) 210\u00b0
\nii) Prove that
\n\"Plus
\niii)A lamp post is situated at the middle point M of the side AC of a triangular plot ABC with BC = 7m, CA = 8m, AB =9m. Lamp post subtends an angle 15\u00b0 at the point B. Determine the height of the lamp post.
\nAnswer:
\ni) 210\u00b0
\nii)
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 9.
\ni) 40\u00b020′ = ____ radians\u00a0(MAY-2016)<\/span>
\na) \\(\\frac { 112\u03c0 }{ 540 }\\)
\nb) \\(\\frac { 211\u03c0 }{ 540 }\\)
\nc) \\(\\frac { 122\u03c0 }{ 540 }\\)
\nd) \\(\\frac { 121\u03c0 }{ 540 }\\)
\nii) Prove that
\n\"Plus
\niii) Solve sin 2x – sin 4x + sin 6x = 0
\nAnswer:
\ni)
\nd) \\(\\frac { 121\u03c0 }{ 540 }\\)
\nii)
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 10.
\ni) sin 405\u00b0= _____.\u00a0(MARCH-2017)<\/span>
\n\"Plus
\nii)
\nsin x = \\(\\frac { 3 }{ 5 }\\)
\nx lies in the second quadrant.Find the values of cosx,secx,tanx,cotx
\niii) Solve: sin 2x – sin 4x + sin 6x = 0
\nAnswer:
\ni) a) \\(\\frac { 1 }{ 2 }\\)
\nii)
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 11.
\ni) \\(\\frac { 7\u03c0 }{ 6 }\\) radian = ______ degree.\u00a0(MARCH-2017)<\/span>
\na) 200
\nb) 300
\nc) 240
\nd) 120
\nii) Find the value of tan 75\u00b0
\niii) In a triangle ABC, prove that
\na sin(B – C)+b sin(C -A)+c sin (A – B) = 0
\nAnswer:
\ni) a) 210
\nii)
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Plus One Maths Chapter Wise Previous Questions and Answer<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"

Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 3 Trigonometric Functions Plus One Maths Trigonometric Functions 3 Marks Important Questions Question 1. i) Find the degree measure corresponding to radians.( use \u03c0 = ) (MARCH-2010) ii) If cos x = , x lies in the third quadrant,find sin x and tan x Answer: i) Degree […]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[42728],"tags":[],"yoast_head":"\nPlus One Maths Chapter Wise Previous Questions Chapter 3 Trigonometric Functions - A Plus Topper<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Plus One Maths Chapter Wise Previous Questions Chapter 3 Trigonometric Functions\" \/>\n<meta property=\"og:description\" content=\"Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 3 Trigonometric Functions Plus One Maths Trigonometric Functions 3 Marks Important Questions Question 1. i) Find the degree measure corresponding to radians.( use \u03c0 = ) (MARCH-2010) ii) If cos x = , x lies in the third quadrant,find sin x and tan x Answer: i) Degree […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-3\/\" \/>\n<meta property=\"og:site_name\" content=\"A Plus Topper\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2024-02-19T01:57:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-02-19T07:04:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-3-Trigonometric-Functions-1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.aplustopper.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/www.aplustopper.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/www.aplustopper.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.aplustopper.com\/#website\",\"url\":\"https:\/\/www.aplustopper.com\/\",\"name\":\"A Plus Topper\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/www.aplustopper.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.aplustopper.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-3\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-3-Trigonometric-Functions-1.png\",\"contentUrl\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-3-Trigonometric-Functions-1.png\",\"width\":151,\"height\":155,\"caption\":\"Plus One Maths Chapter Wise Previous Questions Chapter 3 Trigonometric Functions 1\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-3\/#webpage\",\"url\":\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-3\/\",\"name\":\"Plus One Maths Chapter Wise Previous Questions Chapter 3 Trigonometric Functions - 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