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The value of $\cos \{\tan^{- 1} (\tan \frac{15 π}{4})\}$ , is

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Correct option is A

We have,cos⁡tan−1⁡tan⁡15π4=cos⁡tan−1⁡tan⁡4π−π4=cos⁡tan⁡tan−1⁡−π4=cos⁡−π4=cos⁡π4=12

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The value of cos⁡tan−1⁡tan⁡15π4, is

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The value of $\cos \{\tan^{- 1} (\tan \frac{15 π}{4})\}$ , is