160k views
0 votes
Prove, cotx -tanx= 2 cot2x

User Gogagubi
by
5.0k points

1 Answer

0 votes

Explanation:

cotx- tanx= 2cot2x

L.H.S

cosx/sinx- sinx/cosx

(cos²x- sin²x)/ sinxcosx

[ cos²x-(1-cos²x)]/sinxcosx

( 2cos²x-1)/sinxcosx

2cosx/ 2sinxcosx

2cot2x

User Andrepm
by
5.2k points