Question

Question #a6f2f

Answer 1

`cos^2 t`

Explanation:

`tan t/(tan t + cot t) = ((cos t)/(sin t))/(sin t/(cos t) + cos t/(sin t)) =`
`= ((cos t)/(sin t))/((sin^2 t + cos^2 t)/(sin t.cos t)) =`
`= (cos t/sin t)((sin t.cos t)/1) = cos^2 t`