Math  /  Trigonometry

Question Determine if x=π/6x=\pi/6 is a solution to the equation cosx=3/2\cos x = \sqrt{3}/2 using substitution.

Studdy Solution
Compare the result of the cosine function with the RHS of the original equation.
Since cos(π6)=32\cos\left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{2} and this matches the RHS of the equation 32\frac{\sqrt{3}}{2}, we conclude that the given xx-value is indeed a solution to the equation.
x=π6x = \frac{\pi}{6} is a solution to the equation cosx=32\cos x = \frac{\sqrt{3}}{2}.

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