Question

prove that cot thita + cosec thita -1 / cot thita - cosec tita +1 = 1 + cos thita / sin thita

Answer 1

Hey !!!

Solution is in this given attachment !!
_______________________.

Hope it will help you !!!

@Rajukumar111

Answer 2

Hii friend,

Cot theta + Cosec theta -1 / Cot theta - Cosec theta +1 = 1+Cos theta/ Sin theta

We have,

LHS = (Cot theta + Cosec theta)-1/(Cot theta - Cosec theta +1)

=> (Cosec theta+ Cot theta)-(Cosec theta-Cot²theta)/(Cot theta - Cosec theta+1)

=> (Cosec theta+Cot theta)[1-(Cot theta-Cot theta)] / (Cot theta-Cosec theta +1)

=> (Cosec theta + Cot theta)(Cot theta-Cosec theta +1) / ( Cot theta - Cosec theta+1)

=> ( Cosec theta+Cot theta)

=> (1/Sin theta + Cos theta/Sin theta)


=> 1+Cos theta/ Sin theta = RHS.

Hence,

LHS = RHS..... PROVED....



HOPE IT WILL HELP YOU...... :-)