Trigonometric Functions

Degrees and Radians


Convert the angle 4π3\frac{4\pi}{3} radians into degrees.

Jacky drew an angle of radian measure 5π3 \frac{ 5\pi }{3} . How many degrees is that equivalent to?

The hands of a clock show 7:10. What is the measure, in radians, of the smaller angle formed between the hour and minute hands?

Round your answer to one decimal place.

Two connected gears are rotating. The smaller gear has a radius of r1=6 cm r_1 = 6 \text{ cm} and the larger gear's radius is r2=42 cm. r_2 = 42 \text{ cm}. (The speed of the gears are the same as they are connected.) What is the angle in radian through which the larger gear has rotated when the smaller gear has made one complete rotation?

Which of the following is NOT true?


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