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Question

15^{\circ}
Angle
\textrm{Acute angle}
Evaluate
15^{\circ}
Solution
\textrm{Acute angle}
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Find the complement of the angle
75^{\circ}
Alternative Form
\frac{5\pi }{12}
Alternative Form
\approx 1.308997
Evaluate
15^{\circ}
\text{To find the measure of the complement,subtract the angle measure }15^{\circ}\text{ from }90^{\circ}
90^{\circ}-15^{\circ}
Solution
75^{\circ}
Alternative Form
\frac{5\pi }{12}
Alternative Form
\approx 1.308997
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Find the supplement of the angle
165^{\circ}
Alternative Form
\frac{11\pi }{12}
Alternative Form
\approx 2.879793
Evaluate
15^{\circ}
\text{To find the measure of the complement,subtract the angle measure }15^{\circ}\text{ from }180^{\circ}
180^{\circ}-15^{\circ}
Solution
165^{\circ}
Alternative Form
\frac{11\pi }{12}
Alternative Form
\approx 2.879793
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Find the coterminal angle
-345^{\circ}
Evaluate
15^{\circ}
\text{Find a least negative angle coterminal with }15^{\circ}\text{ by subtracting an integer multiple of the full rotation }n\times 360^{\circ}
15^{\circ}-n\times 360^{\circ},n \in \mathbb{Z}
\text{To get a least negative angle coterminal with }15^{\circ}\text{,subtract }1\text{ full rotation any number of times so that the resulting angle is least negative}
15^{\circ}-1\times 360^{\circ}
Multiply the numbers
15^{\circ}-360^{\circ}
Solution
-345^{\circ}
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Rewrite the angle
\frac{\pi }{12}
Alternative Form
\approx 0.261799
Evaluate
15^{\circ}
\text{Convert into radian measure,multiply by }\frac{\pi}{180^\circ}
15^{\circ}\times \frac{\pi }{180^{\circ}}
Solution
\frac{\pi }{12}
Alternative Form
\approx 0.261799
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