CBSE Guess > Papers > Important Questions > Class XI > 2010 > Maths > Maths By Mr. Anil Kumar Tondak
CBSE CLASS XI
Q. 38. Prove : tanA tan5A tan6A = tan6A – tan5A – tanA.
Q. 39. Prove that: (i) tan 8q – tan 6q - tan 2q = tan 8q tan 6q tan 2q
(ii) tan 13q - tan 9q - tan 4q = tan 13q tan 9q tan 4q
Q. 40. Prove: cot x cot2x – cot2x.cot3x – cot3x.cot x = 1.
Q. 41. Prove: (cosx + cosy)2 + (sinx + siny)2 = 4cos2 
Q. 42. Prove: Cos2 
Q.43. Prove: cos2x + cos2(x + 
) + cos2(x - 
) = 
.
Q. 44. Find the principal solutions of the equation secx = -2.
Q. 45. Find Principal Solutions of:
(1) 
Cosecx = -2
(2) tanx = 
Q. 46. Find the general solution of: sin
- cos 
= 
.
Q. 47. Find general solution of: tan 
= 
Q. 48. Find the general solutions of the following equations :
(i) sin 2q = 
(ii) sin q = tan q
Q. 49. Find the general solutions of : 
sinx – cosx = 
.
Q.50. Solve : sin 2x + sin 4x + sin 6x = 0
Q.51. Solve: tan2x = -cot 
.
Q.52. Solve the following equation: 2 cos2 q - 5 cos q + 2 = 0
Q.53. Solve the follwong equations :
(i) cos q + cos 3q + cos 2q = 0 (ii) cos q + sin q - cos 2 q + sin 2q
(iii) sin q + sin 2q + sin 3q + sin 4q = 0
Q.54. Solve the following equations:
(i) 
cos q + sin q = 1 (ii) sin q + cos q = 1
Q.55. Solve: (i) cos2x – cos8x + cos6x = 1 (2) tan2x = -cot
Q.56. Solve the equations: (i)
(ii) 
.
Q.57. Solve the following equations:
(1) 
(2) 
(3) 2 Cos 
- 1=0 (4) tan 3x = -1
Q.58. Solve following equations:
(1) Cos3x = Sin2x (2) Sin3x + Cos2x = 0
Q.59. Solve:
(1) 2cos2x + 3sinx = 0 (4) 3tanx + Cotx = 5cosecx
Q.60. Find x from the following equations :
(i) cosec (90° + q) + x cos q cot (90° + q) = sin (90° + q)
(ii) x cot (90° + q) + tan (90° + q) sin q + cosec (90° + q) = 0
Q.61. If q lies in second quadrant, in which quadrant the following will lie?
(1) q/2 (2) 2q (3) -q.
Paper By Mr. Anil Kumar Tondak
Email Id : [email protected]
Ph No.: 9811363962
