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Determine exact solution for cosx minus 0.5 equals 0?
X=60 how did you get that? could you show all the steps?
What is the exact solution to cosx equals x?
There is no "exact" solution. This type of equation falls into the category of transcendental equations, which generally don't have exact solution except in special cases. The approximate solution, however, is roughly 0.739085
Prove this identity 1 plus cosx divide by sinx equals sinx divide by 1-cosx?
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Can you Show 1 over sinx cosx - cosx over sinx equals tanx?
From the Pythagorean identity, sin2x = 1-cos2x. LHS = 1/(sinx cosx) - cosx/sinx LHS = 1/(sinx cosx) - (cosx/sinx)(cosx/cosx) LHS = 1/(sinx cosx) - cos2x/(sinx cosx) LHS = (1- cos2x)/(sinx cosx) LHS = sin2x /(sinx cosx) [from Pythagorean identity] LHS = sin2x /(sinx cosx) LHS = sinx/cosx LHS = tanx [by definition] RHS = tanx LHS = RHS and so the identity is proven. Q.E.D.
Is the solution of 1 plus cosx equals 0 is π plus 2kπ?
Yes, that looks good. That's 180 degrees plus every multiple of 360 degrees more.
