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If sinA=4/5 and cosB=5/(13), where 0 <...

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

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If sin alpha+sin beta=a\ a n d\ cosalpha+cosbeta=b , show that : sin(a...

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

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

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

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

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

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

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

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

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

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

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  14. 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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  15. Evaluate the following: sin 78^0cos 18^0-cos 78^0sin 18^0

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  16. Evaluate the following: sin 36^0cos9^0+cos36^0 sin9^0

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  17. Evaluate the following: cos 47^0cos 13^0-sin 47^0 sin 13^0

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  18. Evaluate the following: cos 80^0cos 20^0+ sin 80^0 sin 20^0

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  19. If cos A=-12/13 and cotB=24/7 where A lies in second quadrant and B li...

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  20. Prove that: cos 105^@+cos15^@=sin 75^@-sin 15^@

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