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  • The value of cot cos inverse 7 divided 25 is A.25 divided 24 B. 25 divided 7 C. 24 divided 25 D. 7 divided 24

The value of \cot \cos^{-1}\frac{7}{25} is

A. 25/24

B.25/7

C.24/25

D.7/24

Answers (1)

Answer :(d)

We have to find \cot \cos^{-1}\frac{7}{25}

Let \cos^{-1}\frac{7}{25}=A

\Rightarrow \cos^{-1}=\frac{7}{25}

Also, \cot A=\cot \cos^{-1}\frac{7}{25}

As, \sin A=\sqrt{1-\cos^{2}A}

So \sin A=\sqrt{1-\left (\frac{7}{5} \right )^{2}}

\Rightarrow \sin A=\sqrt{1-\frac{49}{625} }

\Rightarrow \sin A=\sqrt{\frac{625-49}{625} }

\Rightarrow \sin A=\sqrt{\frac{576}{625} }

\Rightarrow \sin A={\frac{24}{25} }

We need to find cot A

\cot A=\frac{\cos A}{\sin A}

\Rightarrow \cot A=\frac{\frac{7}{25}}{\frac{24}{25}}

\Rightarrow \cot A=\frac{7}{24}

So \cot \cos^{-1}\frac{7}{25}=\frac{7}{24}

 

Posted by

infoexpert24

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