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Trigonometric Equations Question And Answer Set 1

Trigonometric Equations Question and Answer Set 1

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

Trigonometric Equations Question and Answer Set 1: Ques No 1

The value of x in the trigonometric equation cosx – \sqrt{3}sinx = 2 is 

Options:

A. 2nPi – Pi/6

B. 2nPi – Pi/3

C. nPi – Pi/6

D. nPi – Pi/3

Answer: B

Trigonometric Equations Question and Answer Set 1: Ques No 2

In the trigonometric equation sinx = \sqrt{3}/2, the number of values of x in the interval [0, 2Pi] is

Options:

A. 0

B. 1

C. 5

D. 4

Answer: D

Trigonometric Equations Question and Answer Set 1: Ques No 3

The number of values of angle A in the interval [0, 2Pi] for the equation sin2A – sinA = 2 is

Options:

A. 0

B. 1

C. 5

D. 4

Answer: B

Trigonometric Equation Question and Answer Set 1: Ques No 4

In the trigonometric equation sin θ = – √3/2 and tan θ = √3, the general solution of θ is  

Options:

A. 2nPi + 4Pi/3

B. 2nPi + 5Pi/3

C. 2nPi + Pi/3

D. 2nPi + 2Pi/3

Answer: A

Trigonometric Equations Question and Answer Set 1: Ques No 5

The general solution of the trigonometric equation sin(3x/2) = 0 is

Options:

A. 2nPi/5

B. 2nPi/3

C. nPi/6

D. nPi/3

Answer: B

Trigonometric Equations Question and Answer Set 1: Ques No 6

The sum of values of x in the trigonometric equation 3 tan2x − 2 = 5sec2x − 9 for 0 < x < 2Pi is

Options:

A. Pi

B. 2Pi

C. 3Pi

D. 4Pi

Answer: D

Trigonometric Equations Question and Answer Set 1: Ques No 7

In the trigonometric equation cosx = \sqrt{3}/2, the number of values of x in the interval [0, 2Pi] is

Options:

A. 1

B. 2

C. 3

D. 4

Answer: D

Trigonometric Equation Question and Answer Set 1: Ques No 8

In the trigonometric equation 3 tan2x = 2sec2x + 1, the number of values of x in the interval [0, Pi] is

Options:

A. 1

B. 2

C. 3

D. 4

Answer: B

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