How do you solve the equation $3costheta-1=4$ for $0<=theta<2pi$ ?

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Answer 1 · 2016-12-23T13:30:35

No solutions are possible for this equation.

The maximum value of $cos(theta)$ for any value of $theta$ is $1$

Therefore the maximum value of $3cos(theta)$ is $3$
and
the maximum value of $3cos(theta)-1$ is $2$

Therefore $3cos(theta)-1$ can not be equal to $4$ for any value of $theta$

How do you solve the equation 3costheta-1=43costheta-1=4 for 0<=theta<2pi0<=theta<2pi?