Practicing Success
Practicing Success
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If $x=\frac{1}{5}$, the value of $\cos(\cos^{-1}x+2\sin^{-1}x)$ is: |
$-\sqrt{\frac{24}{25}}$ $\sqrt{\frac{24}{25}}$ $-\frac{1}{5}$ $\frac{1}{5}$ |
$-\frac{1}{5}$ |
$\cos(\cos^{-1}\frac{1}{5}+2\sin^{-1}\frac{1}{5})=\cos[\cos^{-1}\frac{1}{5}+\sin^{-1}\frac{1}{5}+\sin^{-1}\frac{1}{5}]$ $\cos[\frac{π}{2}+\sin^{-1}\frac{1}{5}]=-\sin[\sin^{-1}\frac{1}{5}]=-\frac{1}{5}$ |
