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Free download in PDF Class 11 Maths Chapter 3 Trigonometric Functions Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Chemistry with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>
(1)
Find all angles θ such that -2π < θ < 2π and cos θ = √2 / 2
[A]
{-7 π / 4, - π / 4 , π / 4 , 7 π / 4}
[B]
{- π / 4, - 3 π / 4 , π / 4 , 3 π / 4}
[C]
{-5 π / 4, π / 4 , 3 π / 4}
[D]
{π / 4 , π / 4 , 3 π / 4}
Answer: {-7 π / 4, - π / 4 , π / 4 , 7 π / 4}
(2)
If sin t = 1/5 and 0 < t < π/ 2, then cos (4 t) = ?
[A]
0.3464
[B]
0.8
[C]
0.6928
[D]
- 0.6928
(3)
If cos t = 1/3 and 3π /2 < t < 2π in quadrant IV, then sin (4 t) = ?
[A]
8 √2 / 3
[B]
- 8 √2 / 3
[C]
- 56 √2 / 243
[D]
56 √2 / 81
(4)
If cos t = 3/4, and sin t < 0, then sin (3 t) = ?
[A]
√7 / 16
[B]
- 5 √7 / 16
[C]
- 3 √7 / 4
[D]
5 √7 / 16
(5)
If tan x = 5, then tan (2 x) = ?
[A]
10
[B]
- 5 / 12
[C]
1 / 10
[D]
5 / 12
(6)
If cos t = 0.8, then cos (2 t) = ?
[A]
0.28
[B]
0.4
[C]
1.0
[D]
1.6
(7)
If sin t = 0.6 and cot t > 0, then sin (2 t) = ?
[A]
- 0.96
[B]
0.48
[C]
0.96
[D]
- 0.48
(8)
Which of the following is not correct?
[A]
sin(x) = -sin(-x)
[B]
sec(-t) = sec(t)
[C]
sin(π + x) = sin(x)
[D]
cos(π - x) = -cos(x)
Answer: sin(π + x) = sin(x)
(9)
Which of the following is not the same as tan(t)?
[A]
- tan(-t)
[B]
tan(t + 2π)
[C]
tan(t + π)
[D]
tan(t + π / 2)
(10)
If sin(-t) = 0.54, what is - sin(t) ?
[A]
0.54
[B]
-0.54
[C]
- 0.46
[D]
0.46
(11)
If cos(-t) = 0.34, what is cos(t) ?
[A]
-0.34
[B]
0.66
[C]
0.34
[D]
- 0.66
(12)
If 0 < t < π/2 and sin t = 0.65, what is sin(t + π) ?
[A]
-0.65
[B]
0.65
[C]
0.35
[D]
0.76
(13)
cos(x) + cos(π - x) =?
[A]
2 cos(x)
[B]
cos(x) - sin(x)
[C]
cos(x) + sin(x)
[D]
0
(14)
If tan(t) = 13, then cot(-t) =?
[A]
13
[B]
1 / 13
[C]
- 1 / 13
[D]
- 13
(15)
If 0 < t < π / 2 and sin t = 0.35, then cos(t + π) =?
[A]
0.94
[B]
-0.94
[C]
0.81
[D]
-0.81
(16)
If point (a , b) is on the Unit Circle associated with the rotation t, then the point on the Unit circle associated with rotation t + π / 2, has the following coordinates
[A]
(b , a)
[B]
(-b , a)
[C]
(-b , -a)
[D]
(-a , b)
(17)
If point (a , b) is on the Unit Circle associated with the rotation t and point (c , d) is also on the Unit circle associated with rotation t + π, then which of the following is correct?
[A]
c = - a and d = - b
[B]
c = - a and d = b
[C]
c = a and d = b
[D]
c = a and d = - b
Answer: c = - a and d = - b
(18)
If point (a , b) is on the Unit Circle associated with the rotation t, which of the following is not correct?
[A]
sin(t) = b
[B]
cos(t) = a
[C]
sin(-t) = - a
[D]
cos(-t) = - a
(19)
Find the point on the Unit Circle associated with the angle 5π/3
[A]
(1 / 2 , 1 / 2)
[B]
(-√3 / 2 , 1/2)
[C]
(1 / 2 , -√3 / 2)
[D]
(-√3 / 2 , -1/2)
Answer: (1 / 2 , -√3 / 2)
(20)
Find the point on the Unit Circle associated with the rotation -9π/2
[A]
(0 , -1)
[B]
(0 , 1)
[C]
(1 , 0)
[D]
(-1 , 0)
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