Question

Find value of sin(45+theta)-cos(45-theta)

Answer 1

Step-by-step explanation:

sin45 cos theta + cos45 sin theta - cos45 cos theta + sin45 sin theta

1/√2 cos theta - 1/√2 sin theta - 1/√2 cos theta - 1/√2 sin theta

(squaring everyone....)

1/2 cos^2 theta + 1/2 sin^2 theta - 1/2

cos^2 theta - 1/2 sin^2 theta

1/2 ( cos^2 theta + sin^2 theta) -1/2 (cos^2 theta + sin^2 theta)

1/2 (1) - 1/2 (1)

= 0