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| Math Central | Quandaries & Queries |
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Question from Jason, a student: Please Help! My question is : Find all of the solutions to sin(x/2)+cosx-1=0 |
Jason,
I can help get you started. Let y = x/2 and then the equation becomes
sin(y) + cos(2y) - 1 = 0.
Use the double angle expression for the cosine and if necessary use the fact that sin2(y) + cos2(y) = 1 to express the equation without the cosine function.
Write back if you need more assistance,
Penny
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