## Tuesday, 27 September 2011

### CBSE Maths X Ch-6 : Trigonometry Identities

 1 mark questions Q. 1 Write the value of sin 620 sin 280 – cos620 cos 280 Q. 2 Write  cot A in terms of sin A. Q. 3 Express sec790 + cot 610 in terms of trigonometrical ratios of angles between 00and 450 . Q. 4 If 3tanθ = 4 , then write the value of tan θ + cot θ . Q. 5 If sinq – cos θ = 0 , 00 <θ < 900 , then write the value of 'θ ' . Q. 6 If 'q ' , then write the value of sin θ + cos 2θ . Q. 7 Write the value of sin2 740 + sin2 160 . Q. 8 In ΔABC, ∠B = 900 and sin C = 4/5 , what is the value of cos A? Q. 9 If A and B are acute angles and sin A = cos   B , than write the value of A+B. Q. 10 Write the value of tan2 300 + sec2 450 . Q. 11 Write the value of 9 cosec2620 – 9 tan2 280 . Q. 12 If sin q = 1/2, write the value of sin q – cosec θ . Q. 13 What is the value of cos2490 – sin2 410 ? Q. 14 If q = 450  , then what is the value of 2cos ec2θ + 3sec2q ? Q. 15 Write the value of sin ( 900 –q ) cos q + cos(900 – q) Sinq Q. 16 If tan (3x –150 ) =1, than write the value of 'x'. Q. 17 In ΔABC, write tan (A+ B)/2  in terms of angle 'C'. Q. 18 If q = 300 , then write the value of 1 – tan2 2q . Q. 19 If tanq + cotq = 3, then what is the value of tan2θ + cot2θ ? Q 20 Write the value of cot (350 +q ) – tan (550 – q ) 2/3 marks questions Q. 21 If sin 2q = cos (q – 36)0, 2θ and (q – 360) are acute angles. Find the value of 'q ' . Q. 22 If tan (320 +q ) = cotq , θ and (320 +q ) are acute angles, find the value of 'q '. Q. 23 If sin ( A+ B) =1 and cos(A – B) = √3 /2 ,  00 ≤ ( A+ B) ≤ 900 , A > B, then find the values of A and B. Q. 24 If q = 300 , then find the value of (1– tan2q)/(1+ tan2q) Q. 25 If tan q = √2 –1, then find the value of (2 tanq) /(1+ tan2q) Q. 26 If q = 300 , then verify : cos 3q = 4cos3q – cosq . Q. 27 Simplify: tan 2 600 + 4cos2 450 + 3sec2 300 + 5cos2 900 Q. 28 Find the value of :- (sin 620)/ cos 28  +  2 (tan 730)/ cot170 –  (2sin 28 .sec620 )/(cot170 7sec 320 – 7cot 580) Q. 29 find the value of (11 sin 700 ) / ( 7 cos200 ) –  (4/7) [(cos530 .cos 370) / (tan150 .tan350 tan550 tan750) Q. 30 Find the value of :- 3(sin2 740 sin216 )/( 4sin 620 .sec280) + 3(tan2 280 – cosec 2620 )/ tan 250 .tan 350tan 550 tan 650)