Home > Latest Announcement > Sum And Difference Identities Question And Answer Set 1

Sum And Difference Identities Question And Answer Set 1

Sum And Difference Identities Question and Answer Set 1

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

Sum And Difference Identities Question and Answer Set 1: Ques No 1

The value of sin(A + B) – sin(A – B) is

Options:

A. 2cosAsinB

B. 2sinAsinB

C. 2cosAcosB

D. 2sinAcosB

Answer: A

Sum And Difference Identities Question and Answer Set 1: Ques No 2

If sinA = 3/5 and sinB = 12/13, where A and B are acute angles, then the value of cos(A + B) is 

Options:

A. 16/65

B. 65/65

C. -16/65

D. -56/65

Answer: C

Sum And Difference Identities Question and Answer Set 1: Ques No 3

The value of tan 750 is 

Options:

A. 2 + Root(3)

B. 1 + Root(2)

C. 2 – Root(3)

D. 1 – Root(2)

Answer: A

Sum And Difference Identities Question and Answer Set 1: Ques No 4

Which of the following is NOT equal to cos(20 + 50)cos50 + sin(20 + 50)sin(50)?

Options:

A. cos20

B. sin70

C. -cos160

D. -sin160

Answer: D

Sum And Difference Identities Question and Answer Set 1: Ques No 5

Which of the following is equal to [Root(3)cosx – sinx]/2?

Options:

A. cosx

B. sinx

C. cos(30 + x)

D. sin(30 + x)

Answer: C

Sum And Difference Identities Question and Answer Set 1: Ques No 6

The cos(30º – A).cos(30º + A) + cos(45º + A).cos(45º – A) – cos2A is

Options:

A. 1/2

B. 1/3

C. 1/4

D. 1/5

Answer: C

Sum And Difference Identities Question and Answer Set 1: Ques No 7

If cos(A + B) = 4/5 and sin(A – B) = 5/13 where 0 < A, B < Pi/4, then the value of cot2A is

Options:

A. 12/19

B. 7/20

C. 19/25

D. 33/56

Answer: D

Sum And Difference Identities Question and Answer Set 1: Ques No 8

If tanx = m/(m + 1) and tany = 1/(2m + 1), then the value of (x + y) is

Options:

A. Pi/4

B. -Pi/4

C. 3Pi/4

D. -3Pi/4

Answer: A

Sum And Difference Identities Question and Answer Set 1: Ques No 9

If cos(x – y) = acos(x + y), then the value of cotxcoty is

Options:

A. (a – 1)/(a + 1)

B. (a + 1)/(a – 1)

C. a – 1

D. a + 1

Answer: B

Leave a Reply

error: Content is protected !!