Question

if sin theta ÷ cos theta + cos theta ÷ sin theta =2,then theta =​

Answer 1

Answer:

sin theta /cos theta +cos theta /sin theta

tan theta+cot theta

tan theta +1/tan theta

1+1=2

Answer 2

question

$( \frac{sinθ}{cosθ} ) + ( \frac{ \cosθ }{ \sinθ } ) = 2$

Answer

$( \frac{ \sin(90 -θ) }{ \cosθ } ) + ( \frac{ \cos(90 - θ) }{ \sinθ } ) = 2$

$( \frac{ \ \cosθ }{ \cosθ } ) + ( \frac{ \sinθ }{\sinθ } ) = 2$

.: cosθ ÷ cosθ and sinθ÷sinθ get cancelled in 1 time

THUS,

$1 + 1 \: \: \: = 2$

$2 \: \: \: = \: \: \: 2$

L.H.S = R.H.S