Question

if cot theta = 1/root3 show that sin^2 theta /1+cos^2 theta = 3/5
FAST!!!​

Answer 1

given

$\cot( \alpha ) = \frac{1}{ \sqrt{3} }$

then,

$\alpha = 60degree$

we know

$sin60 = \frac{ \sqrt{3} }{2}$

and

$\cos(60) = \frac{1}{2}$

then ,

$\frac{ \sin {}^{2} ( \alpha ) }{1 + \cos {}^{2} ( \alpha ) }$

$\: = \frac{ \frac{3}{4} }{1 + \frac{1}{4} }$

$= \frac{3}{5}$

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