SOLUTION: sin (4 theta) = 1 solve for theta 1+sin(theta)=2cos(theta) solve for theta

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Question 1141178: sin (4 theta) = 1
solve for theta
1+sin(theta)=2cos(theta)
solve for theta
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


(1) sin(x)=1 at x = pi/2 + k(2pi)

4 theta = pi/2 + k(2pi) --> theta = pi/8 + k(pi/2)

(2) By looking at "nice" angles, we can find that this equation is satisfied by an angle of (3/2)pi +k(pi). The other solutions can only be found by numerical methods.