# 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 – 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 = /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 sin^{2}A – 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 tan^{2}x − 2 = 5sec^{2}x − 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 = /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 tan^{2}x = 2sec^{2}x + 1, the number of values of x in the interval [0, Pi] is

**Options:**

A. 1

B. 2

C. 3

D. 4

**Answer: B**