\theta is an acute angle. Find the value of \theta in degrees. \cos \theta =\frac{\sqrt{3}}{2}

Anonymous
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Step 1: Note down the given trigonometric ratio and remember the table of trigonometry.
Formula: The cosine (cos) of an angle in a right triangle is a ratio. It is the
length of the adjacentleg (adj) divided by the length of the hypotenuse (hyp)
GIVEN: \cos \theta = \frac{\sqrt{3}}{2}
Step 2: Use the table to identify the required angle, compare the values and degrees.
\cos \theta = \frac{\sqrt{3}}{2}
\theta = \cos^{-1} (\frac{\sqrt{3}}{2}
\theta = \cos^{-1} (\cos 30\degree) ([math] \because see the table )
\theta = 30\degree