
	Trending ▼ ICSE CBSE 10th ISC CBSE 12th CTET GATE UGC NET Vestibulares ResFinder

Class 11 ISC Notes 2018 : Mathematics

2 pages, 3 questions, 0 questions with responses, 0 total responses,

	Ashwani P. Tiwari Dr. Banke Lal memorial inter...	+Fave Message
	Profile Timeline Uploads

Home > chachasingh >

Formatting page ...

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 Downloaded from www.studiestoday.com Q13. Prove that (i) Cos 200 Cos 400 Cos 600 Cos 800 = 1 16 (ii) Cos5A = 16Cos5A 20Cos3A + 5CosA Q14. Find the value of (i) Cos 150 (ii) sin 750 (iii) tan 750 Q15. Find the general solution of the following trigonometric equations ;- (i) Cot2 + (ii) tan + tan 2 + tan tan 2 = 1 (iii) tan + tan 2 + 3 +3=0 sin 3 tan tan 2 = 3 2 (iv) sec 2x = 1 tan2x (v) tan + tan Q16 (i) (ii) In any triangle ABC, if a=16, b=12, c=25 find Cos A, Cos B, Cos C Sin A, Sin B, Sin C Q17 (i) For any triangle ABC prove that = b2 c2 Sin (B C) Sin (B + C) a2 (ii) b2 c2 Sin 2A + c2 - a2 Sin 2B + a2 b2 Sin 2C 2 a (iii) 2 + tan =3 3 3 2 = 0 2 b c 2 a ( Cos C Cos B ) = 2 (b c) Cos (A/2) 2 Downloaded from www.studiestoday.com

Formatting page ...

chachasingh chat

Horizontal lines at:
Guest Horizontal lines at:
AutoRM Data:
Box geometries: