# 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 [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 [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 sec^{2}(x) ≤ 4 in the interval x [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 cos^{2}(x) > 1/2 in the interval x [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 [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 [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**