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**RS Aggarwal Class 10 Solutions Chapter 7 Trigonometric Identities**

**Exercise 7A**

**Question 1:**

∴ LHS = RHS

∴ LHS = RHS

**Question 2:**

∴ LHS = RHS

∴ LHS = RHS

∴ LHS = RHS

**Question 3:**

∴ LHS = RHS

∴ LHS = RHS

**Question 4:**

∴ LHS = RHS

∴ LHS = RHS

**Question 5:**

∴ LHS = RHS

∴ LHS = RHS

**Question 6:**

∴ LHS = RHS

∴ LHS = RHS

**Question 7:**

∴ LHS = RHS

**Question 8:**

∴ LHS = RHS

**Question 9:**

∴ LHS = RHS

**Question 10:**

∴ LHS = RHS

**Question 11:**

∴ LHS = RHS

**Question 12:**

∴ LHS = RHS

**Question 13:**

∴ LHS = RHS

**Question 14:**

∴ LHS = RHS

**Question 15:**

∴ LHS = RHS

∴ LHS = RHS

∴ LHS = RHS

**Question 16:**

∴ LHS = RHS

∴ LHS = RHS

**Question 17:**

∴ LHS = RHS

**Question 18:**

∴ LHS = RHS

∴ LHS = RHS

**Question 19:**

∴ LHS = RHS

∴ LHS = RHS

**Question 20:**

(i)

∴ LHS = RHS

∴ LHS = RHS

**Question 21:**

∴ LHS = RHS

**Question 22:**

∴ LHS = RHS

∴ LHS = RHS

**Question 23:**

∴ LHS = RHS

**Question 24:**

∴ LHS = RHS

**Question 25:**

∴ LHS = RHS

**Question 26:**

∴ LHS = RHS

∴ LHS = RHS

**Question 27:**

∴ LHS = RHS

∴ LHS = RHS

**Question 28:**

∴ LHS = RHS

**Question 29:**

∴ LHS = RHS

**Question 30:**

∴ LHS = RHS

**Question 31:**

∴ LHS = RHS

**Question 32:**

∴ LHS = RHS

**Question 33:**

∴ LHS = RHS

**Question 34:**

∴ LHS = RHS

∴ LHS = RHS

∴ LHS = RHS

**Question 35:**

∴ LHS = RHS

**Question 36:**

∴ LHS = RHS

**Question 37:**

(i) Putting θ= 30^{0}, we get

Hence the given equation is not an identity.

(ii) Putting θ= 30^{0}, we get

Hence the given equation is not an identity.

(iii) Putting θ= 30^{0}, we get

Hence the given equation is not an identity.

**Question 38:**

∴ LHS = RHS

Hence, the given equation is an identity.

∴ LHS = RHS

**Exercise 7B**

**Question 1:**

∴ LHS = RHS

**Question 2:**

∴ LHS = RHS

**Question 3:**

**Question 4:**

∴ LHS = RHS

**Question 5:**

∴ LHS = RHS

**Question 6:**

∴ LHS = RHS

**Question 7:**

∴ LHS = RHS

**Question 8:**

∴ LHS = RHS

**Question 9:**

**Question 10:**

**Question 11:**

**Question 12:**

**Question 13:**

∴ LHS = RHS

**Question 14:**

**Question 15:**

**Question 16:**

**Question 17:**

∴ LHS = RHS

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