# Trigonometry Questions for Competitive Exams

Trigonometry Questions with solution for Competitive Exams. Previous year Exam Question with official answer and detail explanation with short tricks. The Questions are as per SSC CGL and CHSL Exam Syllabus and Pattern. The below 1-18 questions are from the all shifts of SSC CHSL Exam.

### Trigonometry Questions with Solution

Q.1: If (sin A – cos A) = 0 , then what is the value of cot A ?
(A)
(B) 0
(C) 1
(D)

Ans : (C) 1
(sin A – cos A) = 0
sin A = cos A

cot A = 1

Q.2: If and is an acute angle, then the value of will be:
(A)
(B)
(C)
(D)

Ans : (A)

पाइथागोरस प्रमेय से
BC2 = 412 – 92

ATQ

Q.3: Solve the following equation and find the value of .

(A) 60o
(B) 30o
(C) 15o
(D) 45o

Ans : (A) 60o

Put its satisfy
3 x cot60 + tan60 -2

so

Q.4: In , , AB = 20cm and BC = 29cm. What is the value of (sinB -cotC) ?
(A)
(B)
(C)
(D)

Ans : (D)

Q.5: If tanx = cot(48o + 2x), and 0o <x <90o , then what is the value of x ?
(A) 14o
(B 12o
(C) 21o
(D) 16o

Ans : (A) 14o
tan x = cot (48 + 2x)
tanx = tan (90 – (48 + 2x)
x = 90 -(48 + 2x)
x = 90 – 48 – 2x
3x = 42
x = 14

Q.6: If , then the value of will be:
(A) 45o
(B) 30o
(C) 60o
(D) 75o

Ans : (B) 30o

Q.7: Find the value of , If sec2 , where is an acute angle.
(A) 30o
(B) 15o
(C) 60o
(D) 45o

Ans : (C) 60o

put (By option)

4 – 4 = 0
So

Q.8: If and is an acute angle, then the value of is:
(A) 15
(B) 12
(C) 1
(D) 9

Ans : (C) 1

Q.9: In a triangle ABC , right-angled at C, if sec A , then find the value of .
(A)
(B) 5
(C)
(D)

Ans : (D)

Q.10: If , then what is the value of ?
(A) 322
(B) 382
(C) 367
(D) 350

Ans : (A) 322

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Trigonometry Questions for Competitive Exams

Q.11: If 3 cot A = 4 tan A , and A is an acute angle, then what will be the value of Sec A ?
(A)
(B)
(C)
(D)

Ans : (A)

Q.12: What is the value of ?
(A) -1
(B) 0
(C) -2
(D) 1

Ans : (B) 0

[Cos220 + Cos270 = 1, tan 45 = 1]
= 0

Q.13: If , then the value of is:
(A) 5
(B)
(C) 3
(D) 4

Ans : (D) 4

Q.14: In a right-angled triangle ABC right angled at C, Sin A = Sin B. What is the value of Cos A ?
(A) 1
(B)
(C)
(D)

Ans : (D)
Sin A = Sin B
A = B = 45 Satisfy
Cos A = Cos 45
=

Q.15: If , then what will be the value of ?
(A)
(B)
(C)
(D)

Ans : (A)

Q.16: The value of is:
(A)
(B)
(C) 1
(D) 0

Ans : (B)
Cos 8o Cos 82o = 1
Cos 24o Cos 60o = 1
Sin 82o Sin 8o = 1
Sin 66o Sin 24o = 1
so

Q.17: If Sin B = , then what is the value of Cot B, where 0o <B<90o ?
(A)
(B)
(C)
(D)

Ans : (D)

Q.18: If , then the value of will be equal to:
(A) 36
(B) 100
(C) 18
(D) 72

Ans : (D) 72

Thanks for study the Trigonometry Questions for Competitive Exams in English

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