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Trigonometric Ratios Question And Answer Set 1

Trigonometric Ratios Question and Answer Set 1

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

Trigonometric Ratios Question and Answer Set 1: Ques No 1

If x is an acute angle and tan x = 5, then the exact value of (sin x + cos x) is

Options:

A. 1/Root(26)

B. 3/Root(26)

C. 5/Root(26)

D. 6/Root(26)

Answer: D

Trigonometric Ratios Question and Answer Set 1: Ques No 2

An isosceles triangle has base angle of 30o and base 10√3 cm long. The height of this triangle is 

Options:

A. 4 cm

B. 5 cm

C. 5Root(3)

D. 4Root(3)

Answer: B

Trigonometric Ratios Question and Answer Set 1: Ques No 3

If tan A = 4/3, then the value of (3sinA + 2cosA)/(3sinA – 2cosA) is

Options:

A. 1/2

B. 3/2

C. 3

D. 4

Answer: C

Trigonometry Ratios Question and Answer Set 1: Ques No 4

If sinx = 3/5, then the value of (1 + tan2x)/(1 – tan2x) is

Options:

A. 25/7

B. 7

C. 4

D. 12/5

Answer: A

Trigonometric Ratios Question and Answer Set 1: Ques No 5

If (sec A + tan A) / (sec A – tan A) = 5/3, then the value of sin A is

Options:

A. 3/4

B. 1/3

C. 2/3

D. 1/4

Answer: D

Trigonometric Ratios Question and Answer Set 1: Ques No 6

If 1 + tan2A = 625/29, then the value of \sqrt{sinA + cosA}, where A is an acute angle, is

Options:

A. 5/7

B. Root(31)/5

C. 1

D. (5/4)Root(31/42)

Answer: D

Trigonometric Ratios Question and Answer Set 1: Ques No 7

If sinx = a/Root(a2 + b2), then the value of cotx is

Options:

A. a/b

B. b/a

C. a/b + 1

D. b/a + 1

Answer: B

Trigonometric Ratios Question and Answer Set 1: Ques No 8

If tanθ = 3/4 and 0 < θ < Pi/2 and 25xsin2θcosθ = tan2θ, then the value of x is

Options:

A. 7/64

B. 9/64

C. 3/64

D. 5/64

Answer: D

Trigonometry Ratios Question and Answer Set 1: Ques No 9

If tanθ = 3/4 and 0 < θ < Pi/2, then the value of cosecθ is

Options:

A. 5/3

B. 5/4

C. 4/3

D. 4/5

Answer: A

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