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cos3x/cos^3x + sin3X/sin^3x is equal to? (a) 3cos2x.cosec2x (b) 3cot2x.coesc2x (c)12cot2xcosec2x (d)12tan2xsec2x

cos3x/cos^3x + sin3X/sin^3x is equal to?

(a) 3cos2x.cosec2x (b) 3cot2x.coesc2x
(c)12cot2xcosec2x (d)12tan2xsec2x

Grade:11

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
8 years ago
(4cos^3x-3cosx)/cos^3x +(3sinx-4sin^3x)/sin^3x
4-3/cos^2x+3/sin^2x-4
=3[1/sin^2x-1/cos^2x]
=3[cos^2x-sin^2x]/sin^2xcos^2x
=12.cos2x/sin^2(2x)
=12cot2x.cosec2x (c)
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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