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Prove that: (cos^2 33^@-cos^2 57^@)/(sin...

Prove that: `(cos^2 33^@-cos^2 57^@)/(sin^2(21/2)^@-sin^2(69/2)^@)=-sqrt(2)`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Prove that : sin^2 6x-sin^2 4x=sin 2x\ sin\ 10 x

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  2. Prove that: cos^2 2x-cos^2 6x= sin4x sin8x

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  3. Prove that: (cos^2 33^@-cos^2 57^@)/(sin^2(21/2)^@-sin^2(69/2)^@)=-sqr...

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  4. Prove that: cos2alpha\ cos2beta+sin^2(alpha-beta)-sin^2(alpha+beta)=co...

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  5. Prove that: t a n 70^0=t a n 20^0+2t a n 50^0dot

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  6. If sin alpha+sin beta=a\ a n d\ cosalpha+cosbeta=b , show that : cos(a...

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  7. If sin alpha+sin beta=a\ a n d\ cosalpha+cosbeta=b , show that : sin(a...

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  8. If sinA=4/5 and cosB=5/13, find the value of the following : "sin"(A+B...

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  9. If sinA=4/5 and cosB=5/(13), where 0 < A,B < pi/2 ,find the value of...

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  10. If sinA=4/5 and cosB=5/(13),where 0ltAltpi/2 ;0ltBltpi/2 , find the ...

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  11. If sinA=4/5 and cosB=5/(13),where 0ltAltpi/2 ;0ltBltpi/2 , find the ...

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  12. If sinA=12/13 and sinB=4/5 where pi/2 < A < pi and 0 < B < pi/2 then f...

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  13. Prove that sinx/cos(3x)+sin(3x)/cos(9x)+sin(9x)/cos(27x)=1/2 (tan27x-t...

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  14. If sin A=3/5, cos B=-(12)/(13),\ w h e r e A and B both lie in second ...

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  15. If cosA=-24/25 and cos B=3/5 where pi < A < (3pi)/2 and (3pi)/2 < B < ...

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  16. If cosA=-24/25 and cos B=3/5 where pi < A < (3pi)/2 and (3pi)/2 < B < ...

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  17. If tanA=3/4,cosB=9/(41), where pi lt A lt (3pi)/2 and 0 lt B lt pi/2 ...

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  18. If sinA=1/2,cosB=(12)/(13), w h e r e pi < A < (3pi)/2 and (3pi)/2...

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  19. If sinA=1/2,cosB=(sqrt(3))/2, where pi/2 lt A lt pi and 0 lt B lt ...

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  20. If sinA=1/2,cosB=(sqrt(3))/2, w h e r epi/2 lt A lt pi and 0ltBltpi/2...

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