MCQs Questions for Class 11 Maths Chapter 3 Trigonometric Functions
In this 21st century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. In most of the competitive examinations, only MCQ Questions are asked.
In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.
In this post, you will find 16 MCQs questions for class 11 maths chapter 3 trigonometric functions.
MCQs Questions for Class 11 Maths Chapter 3 Trigonometric Functions
1. If the angle of an arc is
60° and the length of the arc is 20 cm, then find the radius of the circle from
which arc is intercepted.
(a) 18.08 cm
(b) 17.07 cm
(c) 19.09 cm
(d) 18 cm
Answer: c
2. The value of cos² x + cos² y
– 2 cos x × cos y × cos (x + y) is
(a) sin (x + y)
(b) sin² (x + y)
(c) sin³ (x + y)
(d) sin4 (x + y)
Answer: b
3. The value of
cos(Ï€/7) × cos(2Ï€/7) × cos(4Ï€/7) is
(a) -1/2
(b) -1/4
(c) -1/6
(d) -1/8
Answer: d
4. If in two circles, arcs of the same length subtend angles 45°
and 60° at centre, then find the ratio of their radii.
(a) 2 : 3
(b) 2 : 5
(c) 3 : 4
(d) 4 : 3
Answer: d
5. If cos a + 2 cos b + cos c = 2, then the relation between a,
b and c is
(a) 2b = a + c
(b) b² = a × c
(c) a = b = c
(d) None of these
Answer: a
6. The value of
cos 420° is
(a) 0
(b) 1
(c) 1/2
(d) √3/2
Answer: c
7. If tan x = 0, then x = _________
(a) nπ
(b) (2n + 1) π/2
(c) (n + 1) π
(d) nπ/2
Answer: a
8. The value of cos 5Ï€ is
(a) 0
(b) 1
(c) -1
(d) None of these
Answer: c
9. If tan A – tan
B = x and cot B – cot A = y, then the value of cot (A – B) is
(a) x + y
(b) 1/x + y
(c) x + 1/y
(d) 1/x + 1/y
Answer: d
10. cot2 x – cosec2 x = __________
(a) 1
(b) -1
(c) sin2 x
(d) cos2 x
Answer: b
11. If 3 × tan(x – 15) = tan(x + 15), then the value of x is
(a) 30
(b) 45
(c) 60
(d) 90
Answer: b
12. The general
solution of √3 cos x – sin x = 1 is
(a) x = n × Ï€ + (-1)n × (Ï€/6)
(b) x = Ï€/3 – n × Ï€ + (-1)n × (Ï€/6)
(c) x = Ï€/3 + n × Ï€ + (-1)n × (Ï€/6)
(d) x = Ï€/3 – n × Ï€ + (Ï€/6)
Answer: c
13. If cosec x = -5/12 and x lies in 2nd quadrant, then find cos x.
(a) 12/13
(b) 5/13
(c) -13/5
(d) 12/13
Answer: c
14. The value of tan 20 × tan 40 × tan 80 is
(a) tan 30
(b) tan 60
(c) 2 tan 30
(d) 2 tan 60
Answer: b
15. cos ( -1500°) =______________
(a) 1/2
(b) -1/2
(c) √3/2
(d) -√3/2
Answer: a
16. If tan² θ = 1 – e², then the value of sec θ + tan³ θ × cosec
θ is
(a) 2 – e²
(b) (2 – e²)1/2
(c) (2 – e²)²
(d) (2 – e²)3/2
Answer: d