Sinxcosx=1/2√2?

sinxcosx=1/2√2

1 Answer
Jun 12, 2018

pi/4; (3pi)/4

Explanation:

sin x.cos x = 1/(2sqrt2)
(sin 2x)/2 = 1/(2sqrt2)
sin 2x = 1/sqrt2 = sqrt2/2
Trig table and unit circle give 2 solutions for x -->
x = pi/4, and x = (3pi)/4
General answers:
x = pi/4 + 2kpi, and
x = (3pi)/4 + 2kpi