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August 29, 2014

August 29, 2014

Posted by **Sally** on Sunday, November 25, 2012 at 2:34pm.

Verify:

cosx(tanx+cotx)=cscx

- trig -
**Steve**, Sunday, November 25, 2012 at 2:58pmwhat you want to do is to show that using standard identities and algebraic manipulation, the left side can be made equal to the right side.

cosx(tanx+cotx)

change to sin,cos using trig identities

cosx(sinx/cosx + cosx/sinx)

now do some algebra

cosx*sinx/cosx + cosx*cosx/sinx

sinx + cos^2(x)/sinx

sinx*sinx/sinx + cos^2(x)/sinx

(sin^2(x) + cos^2(x))/sinx

now apply standard trig identities

1/sinx

cscx

ta-da!

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