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Prove that, cos 4 x - cos4 y = 8(cos x -...

Prove that, `cos 4 x - cos4 y = 8(cos x - cos y)(cos x + cos y)(cos x - sin x)(cos x + sin y)`

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CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES-Short Answer Type Questions
  1. Prove that, cot x cos^(2)x -tan x sin^(2)x = 2 cot 2x

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  2. Prove that, (sec 8 alpha -1)/(sec 4 alpha-1)= (tan 8 alpha)/(tan 2 alp...

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  3. Prove that, cos 4 x - cos4 y = 8(cos x - cos y)(cos x + cos y)(cos x -...

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  4. Prove that, (1+cosA+cos2A)/(sin A+sin2A)=cotA

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  5. Prove that, (tan 5 A + tan 3 A)/(tan 5 - tan 3 A)=4 cos 4 A cos2 A

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  6. Prove that, (cos30^(@) - sin 20^(@))/(cos 40^(@) + cos20^(@)) = 4/sqrt...

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  7. Prove that, 4 (cos^(3) 10^(@) + sin^(3) 20 ^(@))=3 (cos 10^(@) + sin 2...

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  8. Prove that, sqrt3/(sin 20^(@))-1/(cos 20^(@))=4

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

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

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

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

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

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

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

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

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

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

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

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

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