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If "cos" A=(3)/(4), show that 32 "sin" (...

If `"cos" A=(3)/(4)`, show that `32 "sin" (A)/(2) "sin" (5A)/(2)=11`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
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  2. The length of hypotenuse and one side of a right -angle triangle are ...

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  3. If "cos" A=(3)/(4), show that 32 "sin" (A)/(2) "sin" (5A)/(2)=11

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  4. If cos A = tan B , cos B= tan C, cos C= tanA, show that sin A= sin B= ...

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  5. If tan (pi cot theta )= cot (pi tan theta), then show that tan theta= ...

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  6. If tan (pi cos theta)= cot (pi sin theta), show that cos (theta-(pi)/(...

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  7. If u(n)=2 cos n theta, then show that u(n+1)= u(1)u(n)-u(n-1), hence, ...

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  8. Show that the value of (cot 3x)/(cot x) cannot lie between (1)/(3) an...

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  9. If (sin theta + cos theta )=sqrt(2) cos theta , show that cot theta =...

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  12. If alpha= (2pi)/(7), then prove that cos alpha+ cos 2 alpha+ cos 4alph...

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  13. In any triangle ABC if sin A sin B sin C+ cos A cos B=1, then show tha...

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  16. Prove that : 4 sin 50^(@)- sqrt(3) tan 50^(@)=1

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  17. If alpha, beta , gamma lengths of the altitudes of a triangle ABC, pro...

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  18. If a sin theta+ b cos theta=0,then find theta

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  19. If cos^(3) theta = kcos (alpha- 3 theta) and sin ^(3) theta= ksin (alp...

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