Question

Question #74225

Answer 1

It is proved below;

Explanation:

`L.H.S=sinA+tanA`

`=tanA(sinA/(tanA)+1)`
`=tanA(sinA/(sinA/cosA)+1)`
`=tanA((color(green)cancelsinAxxcosA)/color(green)cancelsinA+1)`

`=tanA(cosA+1)=tanA(1+cosA)=R.H.S` `color(blue)[[Proved.]`

Answer 2

`"see explanation"`

Explanation:

`"using the "color(blue)"trigonometric identity"`

`•color(white)(x)tanA=sinA/cosA`

`"consider the right hand side"`

`tanA(1+cosA)`

`=tanA+sinA/cancel(cosA)xxcancel(cosA)`

`=sinA+tanA`

`="left hand side "rArr"verified"`