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If" " tan theta = (sin alpha - cos alpha...

`If" " tan theta = (sin alpha - cos alpha)/(sin alpha + cos alpha),"prove that",2 cos^(2) theta = 1 + sin 2 alpha.`

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CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES-Short Answer Type Questions
  1. If sin alpha + cos alpha = sqrt2 cos alpha,"show that",tan 2 alpha = 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If " "32 sin^(6) theta = 10 - 15 cos 2 theta + b cos 4 theta + alpha c...

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  18. If tan (alpha + beta) = a + b " and " tan ( alpha -beta) = a-b, "then ...

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  19. "Show that :" 2 sin^(2) beta + 4 cos ( alpha + beta) sin alpha sin bet...

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  20. If x = sin theta + cos theta sin 2 theta " and " y = cos theta + sin t...

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