Exam 4: Trigonometric Functions of Angles

The terminal side of an angle θ in standard position passes through the point . Calculate the exact value of sec θ.

Use the trigonometric ratio identity to calculate tan 45°.

Calculate cot $\theta$ if $\theta$ is in standard position and has a measure of 225°.

Indicate the quadrant in which the terminal side of $\theta$ must lie in order for the following to be true. Tan $\theta$ is positive and cos $\theta$ is negative.

Bearing (Navigation). If a plane takes off bearing N 68° E and flies 7 miles and then makes a left turn (90°) and flies 12 miles further, what bearing will the traffic controller use to locate the plane?

The terminal side of an angle θ in standard position passes through the point (7, -6). Calculate the value of cscθ. Round your answer to four decimal places.

Convert 1.6 radians to degrees. Use 3.14 for π and round the answer to the nearest hundredth of a degree.

Find the linear speed of a point traveling at a constant speed along the circumference of a circle with radius r = 29 feet and angular velocity =

Solve the given triangle and round to one decimal place. A = 151.0 yd., $\alpha$ = 69.0°, $\beta$ = 63.4°

Use the reciprocal identity to calculate sec 45°.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 28 miles in time t = 55 seconds. Round your answer to two decimal places.

Use a calculator to approximate the length of the arc on a circle with central angle $\theta$ = 4.1 radians and radius r = 7.1 ft. Round your answer to two decimal digits.

A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 158 feet and 277 feet. The angle between the two sides is 43°. What is the area of the parking lot? Round to the nearest integer.

Use the triangle to write cscθ, if A = 16, B = 30, and C = 34.

The terminal side of an angle θ in standard position passes through the point (-4, 6). Calculate the value of cotθ. Round your answer to four decimal places.

Use the right triangle diagram below and the information given to find the indicated measure. β = 51°, b = 26 in, find a. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 14/ 25 meters in time t= 9 seconds.

Find the area of the triangle described. Round to one decimal place. a = , b = 38 , c = 39

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 35 centimeters in time t = 15 hours. Round your answer to two decimal places.

Indicate the quadrant in which the terminal side of $\theta$ must lie in order for the following to be true: Cos $\theta$ is positive and tan $\theta$ is negative.