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Prove that,1/3 ( cos^(3) alpha sin 3 alp...

Prove that,`1/3 ( cos^(3) alpha sin 3 alpha + sin^(3) alpha cos 3 alpha) = 1/4 sin 4 alpha`

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CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES-Short Answer Type Questions
  1. Prove that, sqrt3/(sin 20^(@))-1/(cos 20^(@))=4

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  2. Prove that,16 "cos" pi/15 "cos" (2pi)/15 "cos" (4pi)/15 "cos" (8pi)/15...

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  3. Prove that,1/3 ( cos^(3) alpha sin 3 alpha + sin^(3) alpha cos 3 alpha...

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  4. If tan^(2) alpha = 1 + 2 tan^(2) beta, "prove that ," cos 2 beta = 1 +...

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  5. If sin alpha + cos alpha = sqrt2 cos alpha,"show that",tan 2 alpha = 1

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  6. If " "2 cos (alpha + beta) cos (alpha-beta)=1, "show that," tan^(2) al...

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  7. If " " tan theta = 1/7 " and " tan phi = 1/3 " show that", cos 2 theta...

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  8. If" " tan theta = (sin alpha - cos alpha)/(sin alpha + cos alpha),"pro...

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  9. If" " tan^(2) theta = 1 + 2 tan^(2) phi, "show that", cos 2theta + sin...

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  10. If" " tan x=b/a, "find the value of " a^(2) "cosec2x + b^(2) sec 2x.

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  11. If" " 2 tan alpha = 3 tan beta, " show that",tan ( alpha - beta) = (si...

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  12. "If " pi/2 < theta lt pi and 5 sin ^(2) theta + 3 cos^(2) theta = 4,...

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  13. If" " x^(2) + y^(2) = 1, "show that, "(3x - 4x^(3))^(2) + (3y - 4y^(3)...

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  14. "Express" sin 5theta "in terms of" sin theta

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  15. "Express"cos 6 theta "in terms of" cos theta

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  16. "Express" tan 4 theta "in terms of" tan theta

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  17. "Express" cos 4A "in terms of" tan A

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  18. Show that,sec x = 2/sqrt(2+sqrt2 + 2 cos 4 x)

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  19. If tan x, tan y, tan z,"are in G.P.,show that," cos2y = (cos(x+z))/cos...

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  20. Using the formula tanA = (sin 2 A)/(1 + cos 2 A),"find the values of "...

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