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

**Trigonometry Ratios Question and Answer Set 1: Ques No 10**

If 7tanθ = 4, then the value of (7sinθ – 3cosθ)/(7sinθ + 3cosθ) is

**Options:**

A. 1/3

B. 1/7

C. 2/5

D. 3/8

**Answer: B**

**Trigonometry Ratios Question and Answer Set 1: Ques No 11**

If sec A=17/8 , show that (3 – 4sin ²A)/(4 cos² A – 3) is

**Options:**

A. 33/713

B. 22/611

C. 33/611

D. 22/713

**Answer: C**

**Trigonometry Ratios Question and Answer Set 1: Ques No 12**

If cos^{2}A – sin^{2}A = tan^{2}B, then the value of cos^{2}B – sin^{2}B is

**Options:**

A. cot^{2}B

B. tan^{2}A

C. cot^{2}A

D. tan^{2}B

**Answer: B**

**Trigonometry Ratios Question and Answer Set 1: Ques No 13**

If 2sinA/(1 + cosA + sinA) = y, then the value of (1 – cosA + sinA)/(1 + sinA) in terms of y is

**Options:**

A. 1/y

B. 2/y

C. 2y

D. y

**Answer: D**

**Trigonometry Ratios Question and Answer Set 1: Ques No 14**

(secA – cosecA)(1 + tanA + cotA) is equal to

**Options:**

A. tanAsecA – cotAcosecA

B. tanAsinA – cotAcosA

C. tanAsecA + cotAcosecA

D. tanAsinA – cotAcosA

**Answer: A**

**Trigonometry Ratios Question and Answer Set 1: Ques No 15**

tanA/(1 – cotA) + cotA/(1 – tanA) is equal to

**Options:**

A. secAcosecA – 1

B. tanA + 1

C. secAcosecA + 1

D. cotA – 1

**Answer: C**