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Class 11 ISC Notes 2018 : Mathematics

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Downloaded from www.studiestoday.com BAL BHARATI PUBLIC SCHOOL Ganga Ram Hospital Marg, New Delhi-60 CLASS XI ASSIGNMENT- 1 SUBJECT MATHEMATICS TOPIC TRIGONOMETRY Q1. The difference between two acute angles of a right triangle is . Find the angles in degree. 9 Q2. A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describe 88 metres when it was traced out 720 at the centre, find the length of the rope. Q3. The angles of a triangle are A.P. such that the greatest is 5 times the least. Find the angles in radians. Q4. Prove that (i) (1 + tan tan )2 + (tan - tan )2 = sec2 sec2 tan A + CotA = sec A cosec A + 1 1 CotA 1 tan A (ii) Q5. If sin = 12 and lies in 2nd quad, then find the value of 8 tan 13 Q6. Prove that :- (i) 5 sec Cos ( 2 ) Co sec( 2 ) tan 2 =1 sec Cos Cot ( ) 2 (ii) tan( 90 0 ) sec( 180 0 ) sin( ) =1 sin( 180 0 ) Cot ( 360 0 ) cos ec ( 90 0 ) (iii) tan 69 0 tan 66 0 = -1 1 tan 69 0 tan 66 0 (iv) Cos 11 0 sin 11 0 = tan 560 Cos 11 0 sin 11 0 Q7. If tan = Q8. Prove that (i) tan 3A tan 2A tan A = tan 3A tan 2A tan A (ii) m , tan = 1 then prove that + = m 1 2m 1 4 (1 + tan A) (1 + tan B) = 2 when A + B = 4 Q9. (i) (iv) Draw the graph of y = 3 sin x y = sin x + cos x Q10. (ii) Solve the following trigonometric equations ;tan 2 = 3 3 7Cos2 + 3 sin2 = 4 Q11. If tan A = x tanB then prove that Q12. If sin A = 3 , 0 < A < , Cos B = 12 , < B < 3 ,find sin(A+B) 5 2 13 2 (i) (ii) y = cosec x (iii) y = sec x sin( A B ) x 1 sin( A B ) x 1 Downloaded from www.studiestoday.com

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