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Find the value of sin (45^@+theta)-cos (...

Find the value of `sin (45^@+theta)-cos (45^@-theta)`

A

`2costheta`

B

0

C

`2sin theta`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
`sin(45^(@)+theta)-cos(45^(@)-theta) = cos[90^(@)-(45^(@)+theta)]-cos(45^(@)-theta)` `[therefore cos(90^(@)-theta)=sintheta]`
`=cos(45^(@)-theta)-cos(45^(@)-theta)`
=0
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