Question

How do you solve: cos(π/2-x)secx) ?

Answer 1

`tanx`

Explanation:

`cos(π/2-x)secx`

Apply cosine difference identity:
`(cos(pi/2)cosx+sin(pi/2)sinx)secx`

Simplify:
`(0*cosx+1*sinx)secx=`

`sinx*secx=`

Apply reciprocal identity:
`sinx*1/cosx=`

`sinx/cosx`

Apply quotient identity:
`sinx/cosx= tanx`