SOLUTION: Please help me solve the problem below: Solve the equation and find all real solutions: cosx*sinx = 0.84

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Question 1000866: Please help me solve the problem below:
Solve the equation and find all real solutions:
cosx*sinx = 0.84

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
cos(x)*sin(x) = 1%2F2*sin(2x).

It is well known trigonometry formula called double argument formula for sine.

Then your equation takes a form

1%2F2*sin(2x) = 0.84.

Multiply both sides by  2.  You will get

sin(2x) = 1.68.

But sine can not be greater than  1.  Contradiction.

Answer.  The given equation has no solution.