Question

I need to solve \[\sin x \cos x = \frac{ \sqrt{2} }{ 4 }\] Where do I begin and where do I end?

Answer 1

sin x cos x = 0.5 sin 2x

0.5 sin 2x = sqrt2/4
2 sin2x = sqrt2

sin 2x = sqrt2/2

now its easy - just look up the angle whose sine is sqrt2/2 on you calculator to get the value of 2x then divide by 2