Prove that => ( 1 + costheta - sin^2thata ) / ( sintheta( 1 + costheta ) ) = cottheta .
11th CBSE 2015 .
Answers
Answered by
6
Hi!
Here's your answer>>>>
Solving LHS
1+cos theta -sin²theta
__________________
sin theta(1+cos theta)
1+cos theta-(1- cos²theta) (using Identity sin²theta=1- costheta)
____________________
sin theta(1+costheta )
1+costheta - 1+cos² theta
_____________________
sin theta(1+costheta)
costheta +cos²theta
__________________
sin theta (1+cos theta)
Taking common value out of bracket
costheta(1+cos theta)
__________________
sin theta(1+costheta)
cos theta ( COSTHETA÷SINTHETA=COTTHETA )
_______
sin theta
cot theta = cot theta
LHS=RHS
HENCE PROVED
HOPE THAT THIS WILL HELP YOU.................
PLEASE MARK IT AS BRAINLIEST.........................................................
Here's your answer>>>>
Solving LHS
1+cos theta -sin²theta
__________________
sin theta(1+cos theta)
1+cos theta-(1- cos²theta) (using Identity sin²theta=1- costheta)
____________________
sin theta(1+costheta )
1+costheta - 1+cos² theta
_____________________
sin theta(1+costheta)
costheta +cos²theta
__________________
sin theta (1+cos theta)
Taking common value out of bracket
costheta(1+cos theta)
__________________
sin theta(1+costheta)
cos theta ( COSTHETA÷SINTHETA=COTTHETA )
_______
sin theta
cot theta = cot theta
LHS=RHS
HENCE PROVED
HOPE THAT THIS WILL HELP YOU.................
PLEASE MARK IT AS BRAINLIEST.........................................................
Similar questions