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If cos x+ cosy =(4)/(5) and cos x- cos y...

If `cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7)`, then the value of `14 tan ((x-y)/(2)) +5 cot ((x+y) /2)`

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SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-LAQ
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  2. In a Delta ABC, A is obtuse. If sin A=(3)/(5) and sin B=(5)/(13), the...

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  3. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

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  4. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  5. For any alpha in R, prove that cos ^(2) (alpha -(pi)/(4))+ cos ^(2) (a...

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  6. For alpha , beta in R, prove that (cos alpha + cos beta )^(2)+ (sin al...

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  7. If none of A,B, A+B is an integral multiple of pi, then prove that (1-...

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  8. Prove that cos. (pi)/(11). cos . (2 pi)/(11). cos . (3 pi)/(11) cos. (...

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  9. If A is not an integral multiple of (pi), prove that cos A cos 2A cos ...

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  10. In a triangle ABC, If cot A+ cotB +cot C=sqrt3, then show that the tri...

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  11. If none of the denominators is zero, prove that .

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  12. If cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7), then the value of 1...

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  13. Prove that tan A. (tan 60^(@) +A). Tan (60^(@)-A)=tan 3A and hence fi...

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  14. Prove that cos 12^(@) + cos 84^(@) +cos 132^(@) + cos 156^(@) =-1//2

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  15. Prove that cos^(2)76^(@)+cos^(2)16^(@)-cos76^(@)cos16^(@)=(3)/(4)

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  16. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

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  17. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

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  18. Sketch the graph of tanx between 0 and pi//4

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  19. Sketch the graph of sinx in the intervals |-pi, pi]

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  20. Sketch the graph of cos 2x in the intervals |0, pi]

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