# Trigonometric Functions MCQ Questions for Class 11 Math’s Chapter 3 with Answers

## Q1. If cos a + 2cos b + cos c = 2 then a, b, c are in

(i) 2b = a + c
(ii) b² = a × c
(iii) a = b = c
(iv) None of these

(i) 2b = a + c

## Q2. The value of tan A/2 – cot A/2 + 2cot A is

(i) 0
(ii) 1
(iii) -1
(iv) None of these

(i) 0

## Q3. If x > 0 then the value of f(x) = -3 × cos√(3 + x + x²) lie in the interval

(i) [-1, 1]
(ii) [-2, 2]
(iii) [-3, 3]
(iv) None of these

(iii) [-3, 3]

## Q4. If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is

(i) a² + b² + c²
(ii) a² – b² – c²
(iii) a² – b² + c²
(iv) a² + b² – c²

(iv) a² + b² – c²

(i) 56/33
(ii) 19/12
(iii) 20/7
(iv) 25/16

(i) 56/33

(i) 3+2√2 /2
(ii) 1+2√2 /2
(iii) 3√2 +2
(iv) 1

(i) 3+2√2 /2

(i) 30
(ii) 45
(iii) 60
(iv) 90

(ii) 45

(i) sin x
(ii) sin 2x
(iii) sin 3x
(iv) sin 4x

(iii) sin 3x

(i) (0, π)
(ii) (−π/2, π/2)
(iii) (0, π)
(iv) (−π, 0)

(i) (0, π)

## Q10. If cos a + 2cos b + cos c = 2 then a, b, c are in

(i) 2b = a + c
(ii) b² = a × c
(iii) a = b = c
(iv) None of these

(i) 2b = a + c

(i) Π/6
(ii) Π
(iii) 0
(iv) Π/4

(iv) Π/4

(i) √5 + 1/8
(ii) √5 – 1/8
(iii) √5 + 1/5
(iv) √5 + 1/2/√2

(i) √5 + 1/8

(i) 30°
(ii) 90°
(iii) 60°
(iv) 120°

(ii) 90°

## Q14. If tan x = (cos 9 + sin 9)/(cos 9 – sin 9), then x =

(i) 45
(ii) 54
(iii) 36
(iv) None of these

(ii) 54

## Q15. In any triangle ABC, if cos A/a = cos B/b = cos C/c and the side a = 2, then the area of the triangle is

(i) √3
(ii) √3/4
(iii) √3/2
(iv) 1/√3

(i) √3

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