How do you simplify cosxtanx+sinxcotx?
1 Answer
Mar 22, 2018
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