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Solve : cos theta cos 2 theta cos 3 t...

Solve :
`cos theta cos 2 theta cos 3 theta =(1)/(4) (0 le theta le pi)`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(8),(3pi)/(8),(5pi)/(8),(7pi)/(8),(2pi)/(3)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Solve : tan^(3) theta+ cot^(3) theta= 8 "cosec"^(3) 2 theta+12

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  2. Solve : ("sin" (x)/(2) "cos" (x)/(2))/(1-8 "sin"^(2)(x)/(2) "cos"^(2...

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  3. Solve : cos theta cos 2 theta cos 3 theta =(1)/(4) (0 le theta le p...

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  4. If cos beta is the geometric mean of sin alpha and cos alpha, then sho...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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