Question

How do you simplify `5sin2theta-costheta+sin^2theta` to trigonometric functions of a unit `theta`?

Answer 1

`10sinthetacostheta−costheta+sin^2theta`

Explanation:

To simplify `5sin2theta−costheta+sin^2theta` to trigonometric functions of a unit `theta`, we use the identity `sin2theta=2sinthetacostheta`.

Then the function becomes

`10sinthetacostheta−costheta+sin^2theta`, which is trigonometric functions in unit `theta`.

Answer 2

`10sinthetacostheta - costheta + sin^2theta`

Explanation:

The terms `-costheta " and " sin^2theta " are already in unit theta"`

To change `5sin2theta " into unit theta use the identity "`

`• sin2theta = 2sinthetacostheta`

hence `5sin2theta = 5(2sinthetacostheta) = 10sinthetacostheta`