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 August 2021.

### 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)

###### Show Answer

(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)

###### Show Answer

पाइथागोरस प्रमेय से

BC

^{2}= 41

^{2 }– 9

^{2}

ATQ

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

(A) 60^{o}

(B) 30^{o}

(C) 15^{o}

(D) 45^{o}

###### Show Answer

^{o}

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)

###### Show Answer

**Q.5:** If tanx = cot(48^{o} + 2x), and 0^{o} <x <90^{o} , then what is the value of x ?

(A) 14^{o}

(B 12^{o}

(C) 21^{o}

(D) 16^{o}

###### Show Answer

^{o}

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) 45^{o}

(B) 30^{o}

(C) 60^{o}

(D) 75^{o}

###### Show Answer

^{o}

**Q.7:** Find the value of , If sec^{2} , where is an acute angle.

(A) 30^{o}

(B) 15^{o}

(C) 60^{o}

(D) 45^{o}

###### Show Answer

^{o}

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

###### Show Answer

**Q.9:** In a triangle ABC , right-angled at C, if sec A , then find the value of .

(A)

(B) 5

(C)

(D)

[toggle] Ans : (D)

**Q.10:** If , then what is the value of ?

(A) 322

(B) 382

(C) 367

(D) 350

###### Show Answer

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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)

###### Show Answer

**Q.12:** What is the value of ?

(A) -1

(B) 0

(C) -2

(D) 1

###### Show Answer

[Cos

^{2}20 + Cos

^{2}70 = 1, tan 45 = 1]

= 0

**Q.13:** If , then the value of is:

(A) 5

(B)

(C) 3

(D) 4

###### Show Answer

**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)

###### Show Answer

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)

###### Show Answer

**Q.16:** The value of is:

(A)

(B)

(C) 1

(D) 0

###### Show Answer

Cos 8

^{o}Cos 82

^{o}= 1

Cos 24

^{o}Cos 60

^{o}= 1

Sin 82

^{o}Sin 8

^{o}= 1

Sin 66

^{o}Sin 24

^{o}= 1

so

**Q.17:** If Sin B = , then what is the value of Cot B, where 0^{o} <B<90^{o} ?

(A)

(B)

(C)

(D)

###### Show Answer

**Q.18:** If , then the value of will be equal to:

(A) 36

(B) 100

(C) 18

(D) 72

###### Show Answer

Thanks for study the Trigonometry Questions for Competitive Exams in English

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