Question

How do you simplify `tan theta + cos(-theta) + tan(-theta)`?

Answer 1

`costheta`

Explanation:

`-theta" is an angle in the fourth quadrant where"`

`costheta>0" and "tantheta<0`

`•color(white)(x)cos(-theta)=costheta" and "tan(-theta)=-tantheta`

`rArrcancel(tantheta)+costhetacancel(-tantheta)=costheta`