In This Post we are  providing Chapter- 2 TRIGNOMETRIC FUNCTIONS NCERT MOST IMPORTANT QUESTIONS for Class 11 MATHS which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MOST IMPORTANT QUESTIONS ON TRIGNOMETRIC FUNCTIONS

1.Convert into radian measures. -370 30’

Ans. – 370 30’ = –

2.Prove Sin (n+1) x Sin (n+2) x + Cos (n+1) x. Cos (n+2) x = Cos x 

Ans.L.H.S = Cos (n+1) x Cos (n+2) x + Sin (n+1) x Sin (n+2) x

=Cos 

=Cos x

3.Find the value of Sin 

Ans. Sin = Sin 

= sin 

= Sin 

=

4.Find the principal solution of the eq. tan x = 

Ans. tan x = 

5.Convert into radian measures. 

Ans. 50 371 3011 = 50 + 

6.Evaluate 2 Sin 

Ans.2 Sin 

6.Find the solution of Sin x = 

Ans.Sin x = 

7.Prove that 

Ans.L. H. S = tan 360

8.Find the value of tan 

Ans.

9.Prove Cos 4x = 1 – 8 Sin2 x. Cos2x

Ans. L. H. S = Cos 4x

10.Find the value of Cos (- 17100).

Ans. Cos (-17100) = Cos (1800-90)[Cos (-θ) = Cos θ

= Cos [5 360 +90]

= Cos  = 0

11.A wheel makes 360 revolutions in 1 minute. Through how many radians does it turn in 1 second.

Ans.N. of revolutions made in 60 sec. = 360

N. of revolutions made in 1 sec = 

Angle moved in 6 revolutions = 2 π 6 = 12 π

12.If in two circles, arcs of the same length subtend angles 600 and 750 at the centre find the ratio of their radii.

Ans.

(1)÷ ( 2)

13.Prove that Cos 6x= 32 Cos6x – 48 Cos4 x + 18 Cos2 x-1

Ans.L.H.S. = Cos 6x

= 

14.Solve Sin2x-Sin4x+Sin6x=o

Ans.

15.Prove that (Cos x + Cos y)2 + (Sin x – Sin y)2 = 4 Cos2 

Ans. L. H. S = (Cos x + Cos y)2 + (Sin x – Sin y)2

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