Choose the correct answer in each of the following questions:
`sin(45^(@)+theta)-cos(45^(@)-theta)=?`

Options

A. `2 sin theta`
B. `2 cos theta`
C. `0`
D. `1`

Answer

C

Explanation

`sin(45^(@)+theta)-cos(45^(@)-theta)=sin(45^(@)+theta)-sin{90^(@)-(45^(@)-theta)}`
`=sin(45^(@)+theta)-sin(45^(@)+theta)=0.`