Question

If tan q=1/root 3 then value of sin [90-q] is

Answer 1

Answer:

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Answer 2

$\mathtt{ \underline{ \huge{ \fbox{ \: Solution \: \: : }}}}$

Given ,

$\star \: \tan( \theta) = \frac{1}{ \sqrt{3 } }$

Thus ,

$\sf \hookrightarrow \tan( \theta) = \tan( 30) \\ \\ \sf \hookrightarrow \theta = 30 \degree$

We have to find the value of $\sf \sin( 90 - \theta)$ , so

$\sf \hookrightarrow \sin(90 - 30) \\ \\ \sf \hookrightarrow \cos(30) \\ \\ \sf \hookrightarrow \frac{ \sqrt{3} }{2}$

Hence , the required value is √3/2