# 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 30^{o} 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 + tan^{2}x)/(1 – tan^{2}x) 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 + tan^{2}A = 625/29, then the value of , 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(a^{2} + b^{2}), 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 25xsin^{2}θcosθ = tan^{2}θ, 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**