Question

If cos=2/5,find sin and tan

Answer 1

${\green{\underline{\huge{\tt{Solution:-}}}}}$

$\cos( \alpha ) = \frac{2}{5}$

We know that,

$\cos( \alpha ) = \frac{base}{hypotenuse}$

So,

•Base → 2

•Hypotenuse→5

We know that,

${(height)}^{2} + {(base)}^{2} = {(hypotenuse)}^{2} \\ = > {(height)}^{2} + {2}^{2} = {5}^{2} \\ = > {(height)}^{2} = 25 - 4 \\ = > height = \sqrt{21}$

$\sin( \alpha ) = \frac{height}{hypotenuse} \\ = > \sin( \alpha ) = \frac{ \sqrt{21} }{5}$

$\tan( \alpha ) = \frac{height}{base} \\ = > \tan( \alpha ) = \frac{ \sqrt{21} }{2}$

Answer 2

Answer:

Step-by-step explanation: