# Review on Trig, calculus homework help

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### Question Description

Review worksheet for trigonometry. Thanks in advance!

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## Tutor Answer

Attached. Let me know if you have any questions.

Explain the relationship(s) among angle measure in degrees, angle measure in radians, and arc length.

Answer:

One degree measure of an angle is defined as 1/360 of a full revolution in magnitude. Half revolution is

180 degrees and a right angle is one fourth of a revolution and its measure is 90 degrees. One radian

measure is defined as the angle formed by an arc of a circle of arc length same as its radius. Since one

complete circle with radius r has a circumference of 2πr, one revolution forms an angle of 2π radians.

Hence if the angle measure is in radians, we can find the arc length by simply multiplying the radius by

the angle measure. Similarly to find the angle in radians, divide the arc length by the radius.

The relationship between the angle in radian measure and arc length is S = rΘ, where S is the arc length,

r is the radius and Θ is the angle in radians.

The relationship between an angle in radian measure and degree measure is

One compete revolution = 3600 = 2π radians.

Hence 1 radian = (360/2π)0 = (180/π)0

And 10 = (π/180) radians.

Find the exact value of each of the following. In each case, show your work and explain the steps you

take to find the value.

sin

(a...

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