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Trigonometric Identities Question And Answer Set 1

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 2sec2A – sec4A – 2cosec2A + cosec4A = 15/4, then the value of tan2A 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 + cos2 A = 1 and a sin12 A + b sin10 A + c sin10 A + d sin6 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)(sinxsiny)] / [(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 sec\theta\left ( \frac{1+sin \theta}{cos \theta}+\frac{cos \theta}{1+sin \theta} \right )-2tan^2\theta

Options:

A. 4

B. 0

C. 2

D. 1

Answer: C

Trigonometric Identities Question and Answer Set 1: Ques No 7

The value of sin2A+[1/(1+tan2A)] is

Options:

A. 4

B. 0

C. 2

D. 1

Answer: D

Trigonometric Identities Questions and Answers Set 1: Ques No 8

If 3cos2A + 7sin2A = 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 cos2A + cos4A = 1, then the value of tan2A + tan4A is

Options:

A. 0

B. 1

C. 4

D. 3

Answer: D

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