Question

Could you please help me so solve this?cosx ( secx + tanx )

Answer 1

`1+sinx`

Explanation:

Given: `cosx(secx+tanx)`

Know that: `tanx= sinx/cosx`
and `secx=1/cosx`

Start:
`cosx(secx+tanx)`

Apply reciprocal and quotient identities stated above:
`cosx(1/cosx+sinx/cosx)`

Distribute:
`cancelcosx*1/cancelcosx+cancelcosx*sinx/cancelcosx=`

`1+sinx`