How do you simplify cosxtanx+sinxcotx?

1 Answer
Mar 22, 2018

sinx + cosx

Explanation:

First, write everything in terms of sines and cosines.

(cosx)(tanx) + (sinx)(cotx)

(cosx)(sinx/cosx) + (sinx)(cosx/sinx)

(cosx*sinx)/cosx + (sinx*cosx)/sinx

Now, cancel out like terms in the numerator and denominator:

(cancelcosx*sinx)/cancelcosx + (cancelsinx*cosx)/cancelsinx

sinx + cosx

This is as simplified as the expression gets.

Final Answer