$$cos$$⁡$$3$$θ$$cos3$$⁡θ$$+$$$$sin$$⁡$$3$$θ$$sin3$$⁡θ is equal to

Correct option is 312cot⁡2θcosec⁡2θ

Questions

$\frac{\cos 3 θ}{\cos^{3} θ} + \frac{\sin 3 θ}{\sin^{3} θ}$ is equal to

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3cos⁡2θcosec⁡2θ

3cot⁡2θcosec⁡2θ

12cot⁡2θcosec⁡2θ

12tan⁡2θsec⁡2θ

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detailed solution

Correct option is C

cos⁡3θcos3⁡θ+sin⁡3θsin3⁡θ=4cos3⁡θ−3cos⁡θcos3⁡θ+3sin⁡θ−4sin3⁡θsin3⁡θ=4×3cos2⁡θ−sin2⁡θ4sin2⁡θcos2⁡θ=12cos⁡2θsin⁡2θ×1sin⁡2θ

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cos⁡3θcos3⁡θ+sin⁡3θsin3⁡θ is equal to

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$\frac{\cos 3 θ}{\cos^{3} θ} + \frac{\sin 3 θ}{\sin^{3} θ}$ is equal to