Sinxcosx=1/2√2?

sinxcosx=1/2√2

1 Answer
Nghi N.
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#

Related questions
Impact of this question
2741 views around the world
You can reuse this answer
Creative Commons License