Class 11
Maths :-NCERT Solutions - Trigonometric Functions
Page No 54:
Question 1:
Find the radian measures corresponding to the following degree measures:
(i) 25° (ii) – 47° 30' (iii) 240° (iv) 520°
Page No 55:
Question 3:
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
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Question 7:
Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length
(i) 10 cm (ii) 15 cm (iii) 21 cm
Page No 63:
Question 6:
Find the value of the trigonometric function sin 765°
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Question 7:
Find the value of the trigonometric function cosec (–1410°)
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Question 8:
Find the value of the trigonometric function 
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Question 9:
Find the value of the trigonometric function
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Question 10:
Find the value of the trigonometric function
Page No 73:
Question 1:
prove that 
Page No 73:
Question 2:
Prove that 
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Question 3:
Prove that 
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Question 4:
Prove that 
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Question 5:
Find the value of:
(i) sin 75°
(ii) tan 15°
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Question 6:
Prove that:
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Question 7:
Prove that: 
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Question 8:
Prove that
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Question 10:
Prove that sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x
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Question 11:
Prove that
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Question 12:
Prove that sin2 6x – sin2 4x = sin 2x sin 10x
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Question 13:
Prove that cos2 2x – cos2 6x = sin 4x sin 8x
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Question 14:
Prove that sin 2x + 2sin 4x + sin 6x = 4cos2 x sin 4x
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Question 15:
Prove that cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x)
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Question 16:
Prove that 
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Question 17:
Prove that 
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Question 18:
Prove that 
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Question 19:
Prove that 
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Question 20:
Prove that 
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Question 21:
Prove that 
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Question 22:
Prove that cot x cot 2x – cot 2x cot 3x – cot 3x cot x = 1
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Question 23:
Prove that 
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Question 24:
Prove that cos 4x = 1 – 8sin2 x cos2 x
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Question 25:
Prove that: cos 6x = 32 cos6 x – 48 cos4 x + 18 cos2 x – 1
Page No 78:
Question 1:
Find the principal and general solutions of the equation 
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Question 2:
Find the principal and general solutions of the equation 
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Question 3:
Find the principal and general solutions of the equation 
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Question 4:
Find the general solution of cosec x = –2
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Question 5:
Find the general solution of the equation 
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Question 6:
Find the general solution of the equation 
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Question 7:
Find the general solution of the equation 
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Question 8:
Find the general solution of the equation 
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Question 9:
Find the general solution of the equation 
Page No 81:
Question 1:
Prove that: 
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Question 2:
Prove that: (sin 3x + sin x) sin x + (cos 3x – cos x) cos x = 0
Page No 82:
Question 3:
Prove that: 
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Question 4:
Prove that: 
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Question 5:
Prove that: 
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Question 6:
Prove that: 
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Question 7:
Prove that: 
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Question 9:
Find
for
, x in quadrant III
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Question 10:
Find
for
, x in quadrant II