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Show that : "sin" 2(pi)/(7)+ "sin"(4pi...

Show that :
`"sin" 2(pi)/(7)+ "sin"(4pi)/(7)-"sin" (6pi)/(7) =4 "sin" (pi)/(7) "sin" (2pi)/(7) "sin" (3pi)/(7)`

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cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. In the triangle ABC, if cos 3 A + cos 3B+ cos 3C=1, show that the tria...

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  2. Show that : tan 20^(@)+ tan 70^(@)= 2 "cosec" 40^(@)

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  3. Show that : "sin" 2(pi)/(7)+ "sin"(4pi)/(7)-"sin" (6pi)/(7) =4 "sin"...

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  4. Show that : tan 70^(@)=2 tan 40^(@)+ tan 20^(@)+ 4 tan 10^(@)

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  5. The length of hypotenuse and one side of a right -angle triangle are ...

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

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

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

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

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

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

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  13. Show that 3(sin x- cos x)^(4)+4 (sin ^(6)x+cos^(6)x)+ 6(sin x+cos x)^(...

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  14. Show that 1+cos 56^(@)+ cos 58^(@)-cos66^(@)=4 cos 28^(@) cos 29^(@...

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

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

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  17. If sin theta+ sin phi= sqrt(3)( cos phi- cos theta), then show that si...

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  18. Prove that : tan 70^(@)+ tan 10^(@)- tan 50^(@)= sqrt(3)

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

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

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