SOLUTION: find all values of theta in the interval 0 theta 360 that satisfy the equation sin2x=sinx

SOLUTION: find all values of theta in the interval 0 theta 360 that satisfy the equation sin2x=sinx

Algebra.Com

Question 697687: find all values of theta in the interval 0 theta 360 that satisfy the equation sin2x=sinx

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sin2x=sinx
------------
sin2x - sinx = 0
2sinxcosx - sinx = 0
sin(x)*(2cosx - 1) = 0
----
sinx = 0
x = 0, 180, 360
----
2cosx = 1
cosx = 1/2
x = 60, 300

RELATED QUESTIONS
Please help me solve this values for me. Find all values of theta in the interval 0� <... (answered by stanbon)

Find all values of theta in the interval 0�< theta <360� that satisfy the equation 2(sin... (answered by robertb)

7cos theta + 1 = 6sec theta Find, to the nearest degree, all values of theta in the... (answered by lwsshak3)

solve algebraically for all values of theta in the interval 0-360 that satisfy the... (answered by lwsshak3)

find all values of theta in the interval 0 less then or equal to theta less then or equal (answered by jsmallt9)

find all values of theta in the interval 0 less then or equal to theta less then or equal (answered by Fombitz)

Find all theta in the interval [0,2pi) that satisfy the equation. 2cot theta sin theta - (answered by stanbon)

Find to the nearest degree, all values of theta in the interval 0 degrees is < or equal... (answered by lwsshak3)

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