SOLUTION: Cos(theta)*sin(2theta) = 0
Algebra.Com
Question 835643: Cos(theta)*sin(2theta) = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
cos(theta)*sin(2theta) = 0
cos(theta)*2*sin(theta)*cos(theta) = 0
2*cos(theta)*cos(theta)*sin(theta) = 0
2*cos^2(theta)*sin(theta) = 0
cos^2(theta) = 0 or sin(theta) = 0
cos(theta) = sqrt(0) or sin(theta) = 0
cos(theta) = 0 or sin(theta) = 0
theta = arccos(0) or theta = arcsin(0)
theta = pi/2 or 3pi/2 or theta = 0 or pi
=======================================================
If we're in the interval [0, 2pi), then the final answers are: theta = 0, theta = pi, theta = pi/2, theta = 3pi/2
RELATED QUESTIONS
-sin(theta) + cos(2theta) =... (answered by jim_thompson5910)
cos^2(theta)sec^2(theta)-[cos^2theta+sin^2theta] (answered by mananth)
cos^2theta-sin^2theta/cos^2theta+sin theta cos theta=1-tan... (answered by greenestamps)
sin theta= 12/13, 3pi/2 (answered by Edwin McCravy,feliz1965)
if tan theta=10/7, and if cos theta <0 then,
sec theta=
cos theta=
sin theta=
tan... (answered by Alan3354)
Show that
(a) sin 2theta * cos theta + cos 2theta * sin theta = sin 4theta * cos theta (answered by mccravyedwin)
4 sin 2theta = 3 cos... (answered by Alan3354)
Use the given information to find sin 2theta, cos 2theta, and tan 2theta.
#1) cos theta (answered by lwsshak3)
Prove or disprove without a calculator.
(sin theta/csc 2theta)-(cos 2theta/sec theta)=... (answered by solver91311)