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GOEL CLASSES TRIGNOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES [II] CLASS XITH[MATHS] Formula 1. sin C + sin D = 2 sin cos 2. sin C – sin D = 2 cos sin 3. cos C + cos D = 2 cos cos 4. cos C- cos D = -2 sin sin Questions 5.. 6. 7.. 8. 9. 10. 11. 12. 13. 14 .cos(A + B) + sin (A – B) = 2 sin (45 +A) cos (45 + B) 15.. 16. 17. 18.. A-43 Acharya Vinoba Bhavae Nagar, Vaishali Nagar, Jaipur. Ph- 9828224744, 2358924 2 With Goels Impossible says I’m possible ................

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GOEL CLASSES

TRIGNOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES [II]

CLASS XITH[MATHS]Formula

1. sin C + sin D = 2 sincos

2. sin C sin D = 2 cossin

3. cos C + cos D = 2 coscos

4. cos C- cos D = -2 sinsin

Questions5..

6. 7..

8. 9. 10. 11.

12.

13.

14 .cos(A + B) + sin (A B) = 2 sin (45 +A) cos (45 + B)

15.. 16. 17. 18.. 19. 20...

21.. . 22...

23.. 24..

25.. . 22.

26..

27..

28.. cos3A + cos5A + cos 7A + cos 15A = 4 cos 4A cos 5A cos 6A.

29.cos(-A+B+C)+cos(A-B+C)+cos(A+B-C)+cos(A+B+C) = 4 cos A cos B cos C.

30. sin 50 sin70 + sin 10 = 0 32. sin10 + sin 20 +sin 40 +sin 50 = sin 70 + sin 80.

31.. sin a + sin 2a + sin 4a + sin 5 a = 4 cos cos Simplify

32.. 33..

A-43 Acharya Vinoba Bhavae Nagar, Vaishali Nagar, Jaipur. Ph- 9828224744, 2358924 1

With Goels Impossible says Im possible ................

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