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Prove that "sin" (pi)/(14)"sin" (3pi)/(1...

Prove that `"sin" (pi)/(14)"sin" (3pi)/(14) "sin" (5pi)/(14) "sin" (7pi)/(14)=(1)/(8)`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
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  2. If cos beta is the geometric mean of sin alpha and cos alpha, then sho...

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  3. Prove that "sin" (pi)/(14)"sin" (3pi)/(14) "sin" (5pi)/(14) "sin" (7p...

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  4. The sides of a triangles are in A.P.and the greatest angle exceeds the...

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  5. Let 0 lt x lt pi, 0 lt y lt pi and cos x+ cos y - cos (x+y)=(3)/(2). ...

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  6. Eliminate x and y from the following equations : a sin ^(2)+ b cos^(2)...

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  7. Find the root of equation 2x^2+3 x + 11=0.

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  8. If a cos theta+ b sin theta= c then find the quadratic equation whose...

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  9. If alpha=(2pi)/(7) then prove that sin alpha sin 2 sin 4 alpha =-(sqrt...

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  10. If A,B,C are the angles of a triangle, show that that greatest value o...

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  11. If A,B,C are the angles of a triangle, find the maximum values of : ...

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  12. If A,B,C are the angles of a triangle, find the maximum values of : ...

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  13. If A,B,C are the angles a triangle, prove that cos A+ cos B+ cos C le ...

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  14. If A,B,C are the angles of a triangle, prove that the maximum value of...

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  15. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  16. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  17. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  18. Show that (1)/(3) lt (sec^(2) theta - tan theta)/( sec^(2) theta+ tan ...

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  20. Find the minimum values of: cot^(2)A+cot^(2)B+ cot ^(2)C where A,...

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