help. math problem!?

0 ⤊

help. math problem!?

prove the identity.

2csc2x = tanx + cotx

2007-11-07 14:13:19 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

2csc(2x) = 2/sin(2x)

=> 2/2sin x cosx

=>1/sinx cosx

=>(sin^2x + cos^2x)/sinx cosx

=>(sin^2x/sinx cosx)+ (cos^2x/sinx cosx)

=>(sinx/cosx) + (cosx/sinx)

=>tanx + cotx

2007-11-07 14:26:57 · answer #1 · answered by mohanrao d 7 · 0⤊ 0⤋

2csc2x = 2/sin2x = 2/2sinxcosx
1/sinx cosx = (sin^2x + cos^2x)/sinx cosx
= sinx/cosx + cosx/sinx
=tanx + cotx

2007-11-07 14:26:34 · answer #2 · answered by norman 7 · 0⤊ 0⤋