1.

The value of `sin(45^(@)+theta)-cos(45^(@)-theta)` isA. `2costheta`B. `2sintheta`C. 1D. 0

Answer» Correct Answer - D
Given expression,
`sin(45^(@)+theta)-cos(45^(@)-theta)`
`" "=sin45^(@)*costheta+cos45^(@)*sintheta-cos45^(@)*costheta-sin45^(@)*sintheta`
`" "=(1)/(sqrt(2))*costheta+(1)/(sqrt(2))*sintheta-(1)/(sqrt(2))*costheta-(1)/(sqrt(2))sintheta`
= 0


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