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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 Identities Question and Answer Set 1 is the collection of some important questions. Practice these questions for SSC CAT NTSEexams etc. 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 Questions 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 Questions 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 Questions 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 Questions 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 Questions 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

Sum And Difference Identities Questions and Answer Set 1: Ques No 10

If sinA = 13/14 and sinB = 11/14 for 0 < A < Pi/2 and 0 < B < Pi/2, then the value of (A + B) is

Options:

A. 60 degree

B. 30 degree

C. 120 degree

D. 150 degree

Answer: C

Sum And Difference Identities Questions and Answer Set 1: Ques No 11

If [tan(x + 120o)]/[tan(x – 30o)] = 11/2 and cos4x = a/b, where a and b are coprime positive integers, then the value of (a + b) is

Options:

A. 162

B. 164

C. 167

D. 169

Answer: D

Sum And Difference Identities Questions and Answer Set 1: Ques No 12

If A = Pi/5, then the value of tanAtan2A + tan2Atan3A + … tan8Atan9A is

Options:

A. -10

B. -14

C. -22

D. -26

Answer: A

Sum And Difference Identities Questions and Answer Set 1: Ques No 13

The value of sin(A – B)/sinAsinB + sin(B – C)/sinBsinC + sin(C – A)/sinCsinA is

Options:

A. -2

B. -1

C. 0

D. 1

Answer: C

Sum And Difference Identities Questions and Answer Set 1: Ques No 14

The value of cos2θcosϕ + sin2(θ – ϕ) – sin2(θ + ϕ) is

Options:

A. cos2(θ + ϕ)

B. sin2(θ – ϕ)

C. sin2(θ + ϕ)

D. cos2(θ – ϕ)

Answer: A

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