Question

If cot theta =1/under root 3
show that sin squar theta/1+ cos squat theta =3/5​

Answer 1

Step-by-step explanation:

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Answer 2

question

if cot∅=1/√3 ...

then prove that..

sin²∅/(1+cos²∅)=3/5

solution

cot∅=1/√3

=>cos∅=sin∅/√3

=>cos²∅=sin²∅/3

L.H.S=sin²∅/(1+cos²∅)

=sin²∅/(sin²∅+cos²∅+cos²∅)

=sin²∅/(sin²∅+2 cos²∅)

=sin²∅/(sin²∅+2sin²∅/3)

=sin²∅/sin²∅(1+2/3)

$= \frac{1}{ \frac{3 + 2}{3} } \\ = \frac{3}{5} = R.H.S.(proved)$