SOLUTION: Hello, I need help solving this trigonometric equation.The question is: solve the following question for θ. Unless otherwise specified, give all solutions as exact radian meas
Question 1092858: Hello, I need help solving this trigonometric equation.The question is: solve the following question for θ. Unless otherwise specified, give all solutions as exact radian measurements such that 0 ≤ θ < 2pi.
1. sin^4 2θ -2sin^2 2θ= -1
I hope this isn't too confusing. I appreciate any time and effort that you put into solving this. Thank you in advance for your help! Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website! .
= -1 ====>
= 0 ====>
= 0 ====>
= 0 ====>
= 0 ====>
There are two ways to continue:
1) = 1 ====> = and/or = .
2) = -1 ====> = and/or = .
Answer. The original equation has 4 roots in the interval [0,):
= , , and .