# 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 is the collection of some important questions. Practice these questions for SSC CGL CHSL CAT exams etc. 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**

**Trigonometric Equation Question and Answer Set 1: Ques No 9**

The solution set of (2cosx – 1)(3 + 2cosx) = 0 in the interval 0 <= x <= 2Pi is

**Options:**

A. {Pi/3}

B. {Pi/3, 5Pi/3}

C. {Pi/3, 5Pi/3, cos^{-1}(2/3)}

D. None of these

**Answer: B**

**Trigonometric Equation Question and Answer Set 1: Ques No 10**

If sin5x + sin3x + sinx = 0, then the value of x other than zero lying between 0 <= x <= Pi/2 is

**Options:**

A. Pi/6

B. Pi/12

C. Pi/3

D. Pi/4

**Answer: C**

**Trigonometric Equation Question and Answer Set 1: Ques No 11**

The general solution of the equation tan2A + 2√3 tanA = 1 is

**Options:**

A. θ = Pi/2

B. (n + 1/2)Pi

C. (6n + 1)Pi/12

D. nPi/12

**Answer: C**

**Trigonometric Equation Question and Answer Set 1: Ques No 12**

The general solution of the equation 2sin^{2}x +√3 cosx + 1 = 0 is

**Options:**

A. 2nPi ± 5Pi/6

B. 2nPi ± Pi/4

C. nPi ± 5Pi/6

D. nPi ± Pi/6

**Answer: A**

**Trigonometric Equation Question and Answer Set 1: Ques No 13**

The number of values of x in the interval [0, 3Pi] satisfying the equation 2sin^{2}x + 5sinx – 3 = 0 is

**Options:**

A. 6

B. 1

C. 2

D. 4

**Answer:**

**Trigonometric Equation Question and Answer Set 1: Ques No 14**

The number of solutions of the pair of equations 2sin^{2}θ – cos2θ = 0 and 2cos^{2}θ – 3sinθ = 0 in the interval [0, 2Pi] is

**Options:**

A. Zero

B. One

C. Two

D. Four

**Answer: C**