# 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 is the collection of some important questions. Practice these questions for SSC CGL CAT NTSE exams etc. 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**