Fill in the blank(s) to correctly complete each sentence.

The sum of the measures of the angles of any triangle is ________________ .​​

Give the measures of the complement and the supplement of an angle measuring 35° .

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One degree, written 1°, represents ____________ of a complete rotation.

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. Given tan θ = 1/cot θ , two equivalent forms of this identity are cot θ = 1/______ and tan θ . ______ = 1 .

Fill in the blank(s) to correctly complete each sentence.

An isosceles right triangle has one ________________ angle and ______________ equal sides.

Find the exact values of s in the given interval that satisfy the given condition.

[0, 2π) ; sin s = -√3/ 2

Fill in the blank(s) to correctly complete each sentence.

An equilateral triangle has _________________ equal sides.

Find the angle of least positive measure that is coterminal with each angle. 792°

CONCEPT PREVIEW Determine whether each statement is possible or impossible. sin θ = 1/2 , csc θ = 2

Solve each problem. Rotating Propeller The propeller of a speedboat rotates 650 times per min. Through how many degrees does a point on the edge of the propeller rotate in 2.4 sec?​​

CONCEPT PREVIEW In each figure, find the measures of the numbered angles, given that lines m and n are parallel. ​​

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One minute, written 1' , is ________________ of a degree.

Solve each problem. Rotating Pulley A pulley is rotating 320 times per min. Through how many degrees does a point on the edge of the pulley move in 2/3 sec?

CONCEPT PREVIEW Name the corresponding angles and the corresponding sides of each pair of similar triangles.

CONCEPT PREVIEW The terminal side of an angle θ in standard position passes through the point (― 3,― I3) Use the figure to find the following values. Rationalize denominators when applicable. r

Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 119° 08' 03"

CONCEPT PREVIEW Determine whether each statement is possible or impossible. cos θ = 1.5

CONCEPT PREVIEW Determine whether each statement is possible or impossible. sin² θ + cos² θ = 2

Find the measure of each marked angle.

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 30°

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel. See Examples 1 and 2 .

Find the measure of each marked angle.

Sketch an angle θ in standard position such that θ has the least positive measure, and the given point is on the terminal side of θ. Then find the values of the six trigonometric functions for each angle. Rationalize denominators when applicable. See Examples 1, 2, and 4. (―12 , ―5)

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. See Example 1. csc θ , given that sin θ = ―3/7

Find the measure of each marked angle.

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel. See Examples 1 and 2 .

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Find the measure of each marked angle.

Solve each problem. Length of a Road A camera is located on a satellite with its lens positioned at C in the figure. Length PC represents the distance from the lens to the film PQ, and BA represents a straight road on the ground. Use the measurements given in the figure to find the length of the road. (Data from Kastner, B., Space Mathematics, NASA.)

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel.

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Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. See Example 1. cot θ , given that tan θ = 18