Question

$\huge\purple{\fbox{\bf{Question࿐}}}$
Prove that sin theta/1-cos theta + tan theta /1 + cos theta = sec theta * cosec theta + cot theta?​

Answer 1

$\huge\red{\fbox{\bf{Answer}}}$

• Answer In Attchment

Answer 2

Answer:

$\underline{\purple{\ddot{\Mathsdude}}}$

Answered by Rohith kumar maths dude :-

☆☆Proof;-

Sin theta /(1-cos theta )+tan theta /1+cos theta=sec theta×cosec theta+cot theta

Lets we start it with LHS ,

we get ,

=sintheta/(1-cos theta)+tan theta /cos theta

=sin theta(1+cos theta)+Tan theta (1-cos theta)/1- cos ^2 theta

= (1+cos theta+1/cos theta-1)/sin theta .

= (cos theta +1/cos theta )/sin theta

= 1/costheta.sintheta+costheta/sintheta

= Sectheta.Cosectheta+cot theta

Therefore,

LHS=RHS.

☆☆HOPE IT HELPS YOU .

☆☆Thank you