SOLUTION: Find the exact values of theta on the interval [0degrees, 360 degrees) that make the following equation a true statement. 3 sin theta- 6 sin theta cos theta cos theta =0

Question 807941: Find the exact values of theta on the interval [0degrees, 360 degrees) that make the following equation a true statement.
3 sin theta- 6 sin theta cos theta cos theta =0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact values of theta on the interval [0degrees, 360 degrees) that make the following equation a true statement.
3 sin theta- 6 sin theta cos theta cos theta =0
***
use x for theta

(3sinx)(1-2cos^2x)=0
(3sinx)(1-2(1-sin^2x)=0
(3sinx)(1-2+2sin^2x)=0
(3sinx)(-1+2sin^2x)=0
..
3sinx=0
x=0, 180˚
..
-1+2sin^2x)=0
sin^2x=1/2
sinx=�1/√2=�√2/2
x=45˚, 135˚, 225˚, 315˚

RELATED QUESTIONS
Find Approximate Values of theta between 0 degrees and 360 degrees that make the equation (answered by lwsshak3)

Please help me solve this problem: find a value of the angle 0 (theta) in the interval (answered by funmath)

Please help me with this question for my take home test :) Find all values of theta in (answered by lwsshak3)

Find all values of x in [0degrees, 360 degrees) that satisfy the equation 2 sin(2x)... (answered by lwsshak3)

Please help me solve this equation find the two values of theta in the interval... (answered by Alan3354,MathLover1)

Solve cot(theta)=-1/root 3 to the nearest degree for 0degrees < Theta < 360 degrees.... (answered by lwsshak3)

solve for 0 (answered by stanbon)
Please can you help me solve the following question {{{find the two values of theta in... (answered by Fombitz)
Find the exact value of x in the interval 0 <_ x<_ 360 that make each equation true.... (answered by stanbon)