Question #57930

: In degree measure, the angles pie/3, pie/4 and pie/2 are respectively:

A: 60° , 30° , 90°
B: 60° , 45° , 90° ,
C: 45° , 60° , 90° ,
D: 30° , 45° , 90° ,

Expert's answer

Answer on Question #57930 -Math -Trigonometry

In degree measure, the angles pie/3, pie/4 and pie/2 are respectively:

A: 60°, 30°, 90°

B: 60°, 45°, 90°

C: 45°, 60°, 90°

D: 30°, 45°, 90°

Answer

B: 60°, 45°, 90°

Solution

π=180°; so


π3=1803=60π3=1804=45π3=1802=90\begin{array}{l} \frac{\pi}{3} = \frac{180}{3} = 60 \\ \frac{\pi}{3} = \frac{180}{4} = 45 \\ \frac{\pi}{3} = \frac{180}{2} = 90 \\ \end{array}


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