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The value of $\tan [\frac{1}{2} \cos^{- 1} (\frac{\sqrt{5}}{3})]$ is

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3+52

3+5

12(3−5)

2−3

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detailed solution

Correct option is C

Let cos-153=x. ⇒cosx=53 ∴tan 12 cos-153=tanx2 =1-cosx1+cosx =1-531+53 =3-52

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The value of tan12cos−153 is

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The value of $\tan [\frac{1}{2} \cos^{- 1} (\frac{\sqrt{5}}{3})]$ is