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Trigonometric Inequalities Question And Answer Set 1

Trigonometric Inequalities Question and Answer Set 1

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

Trigonometric Inequalities Question and Answer Set 1: Ques No 1

The solution of the trigonometric inequality sin(x) ≤ 0 in the interval x \in  [0, 2π] is

Options:

A. [π, 2π]

B. [3π/2, 2π]

C. [π/2, 2π]

D. [0, 2π]

Answer: A

Trigonometric Inequalities Question and Answer Set 1: Ques No 2

The solution of the trigonometric inequality tan(x) ≥ Root(3) in the interval x \in  [0, 2π] is

Options:

A. [π/3, π) U [4π/3, 3π)

B. [0, π/2) U [4π/3, 3π/2) 

C. [π/3, π/2) U [4π/3, 3π/2) 

D. [π/5, π/4) U [π/3, 3π/2) 

Answer: C

Trigonometric Inequalities Question and Answer Set 1: Ques No 3

The solution of the trigonometric inequality sec2(x) ≤ 4 in the interval x \in  [0, 2π] is

Options:

A. [0, π/3] U [2π/3, 4π/3] U [5π/3, 2π]

B. [0, π/4] U [π/2, 4π/3] U [5π/3, 2π]

C. [0, π/3] U [2π/3, 4π/3] U [7π/4, 2π]

D. [0, π/6] U [2π/3, 4π/3] U [5π/3, 2π]

Answer: A

Trigonometric Inequalities Question and Answer Set 1: Ques No 4

The solution of the trigonometric inequality cos2(x) > 1/2 in the interval x \in  [0, 2π] is

Options:

A. [0, π/6) U (3π/4, 5π/4) U (7π/4, 2π]

B. [0, π/6) U (π/4, 5π/4) U (7π/4, 2π]

C. [0, π/4) U (3π/4, 5π/4) U (3π/2, 2π]

D. [0, π/4) U (3π/4, 5π/4) U (7π/4, 2π]

Answer: D

Trigonometric Inequalities Question and Answer Set 1: Ques No 5

The solution of the trigonometric inequality cos2(x) ≤ 0 in the interval x \in  [0, 2π] is

Options:

A. [π/2, 3π/4] U [5π/4, 7π/4]

B. [π/4, 3π/4] U [5π/4, 7π/4]

C. [π/6, 3π/4] U [5π/4, 7π/4]

D. [π/3, 3π/4] U [5π/4, 7π/4]

Answer: B

Trigonometric Inequalities Question and Answer Set 1: Ques No 5

The solution of the trigonometric inequality sin(x + π/3) > 1/2 in the interval x \in  [0, 2π] is

Options:

A. [0, π/2) U (3π/4, 2π]

B. [0, π/2] U [11π/6, 2π]

C. [0, π/2) U (11π/6, 2π]

D. [0, π/2] U (3π/4, 2π]

Answer: C

 

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