# Trigonometric Identities Question and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Trigonometric Identities Question and Answer Set 1**. It will help you to practice the questions on the topics of trigonometric identities based questions with answers.

**Trigonometric Identities Question and Answer Set 1: Ques No 1**

If 2sec^{2}A – sec^{4}A – 2cosec^{2}A + cosec^{4}A = 15/4, then the value of tan^{2}A is

**Options:**

A. 1/Root(2)

B. 1/2

C. 1/2Root(2)

D. 1/4

**Answer: A**

**Trigonometric Identities Question and Answer Set 1: Ques No 2**

If cos A + cos^{2} A = 1 and a sin^{12 }A + b sin^{10} A + c sin^{10} A + d sin^{6} A – 1 = 0. Find the value of (a+b)/(c+d)

**Options:**

A. 1

B. 3

C. 4

D. 6

**Answer: B**

**Trigonometric Identities Question and Answer Set 1: Ques No 3**

If p = 2sinx/(1 + cosx + sinx) and q = (1 – cosx + sinx)/sinx, then p/q is

**Options:**

A. 1

B. 2

C. -2

D. -1

**Answer: A**

**Trigonometric Identities Question and Answer Set 1: Ques No 4**

The value of (secA – cosA)^{2} + (cosecA – sinA)^{2} – (cotA – tanA)^{2} is

**Options:**

A. 1/2

B. 0

C. 2

D. 1

**Answer: A**

**Trigonometric Identities Questions and Answers Set 1: Ques No 5**

The value of [(sinx+siny)(sinx−siny)] / [(cosx + cosy) / (cosx – cosy)] is

**Options:**

A. 0

B. 1

C. 2

D. 3

**Answer: B**

**Trigonometric Identities Question and Answer Set 1: Ques No 6**

The value of

**Options:**

A. 4

B. 0

C. 2

D. 1

**Answer: C**

**Trigonometric Identities Question and Answer Set 1: Ques No 7**

The value of sin^{2}A+[1/(1+tan^{2}A)] is

**Options:**

A. 4

B. 0

C. 2

D. 1

**Answer: D**

**Trigonometric Identities Questions and Answers Set 1: Ques No 8**

If 3cos^{2}A + 7sin^{2}A = 4 where A is an acute angle, then the value of cotA is

**Options:**

A. 1/4

B. 1/2

C. 1/Root(3)

D. Root(3)

**Answer: D**

**Trigonometric Identities Question and Answer Set 1: Ques No 9**

If cos^{2}A + cos^{4}A = 1, then the value of tan^{2}A + tan^{4}A is

**Options:**

A. 0

B. 1

C. 4

D. 3

**Answer: D**