Question

Write expression in terms of sine and cosine, and simplify so that no quotients appear in final expression.

Answer 1

Use the identity

`1+\tan ^2x=\sec ^2x`

Then the expression becomes

`(\sec^2x)/(\sec x)=\sec x`

Now, sec x is the reciprocal of cos x.

`(1+\tan^2x)/(\sec x)=(1)/(\cos x)`