Question 1

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

Accepted Answer

The answer of The terminal side of an angle θ...

Question 2

Use the trigonometric ratio identity 
  
to calculate tan 45°.

Accepted Answer

The answer of Use the trigonometric ratio identity 
 ...

Question 3

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

Accepted Answer

A)  0 
B)  -1 
C)  1 
D)

Question 4

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.

Accepted Answer

A)  Q1 
B)  QII 
C)  QIII 
D)  QIV

Question 5

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?

Accepted Answer

The answer of Bearing (Navigation). If a plane takes off...

Question 6

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.

Accepted Answer

The answer of The terminal side of an angle θ...

Question 7

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

Accepted Answer

The answer of Convert 1.6 radians to degrees. Use 3.14...

Question 8

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

=

Accepted Answer

A)  feet/sec  
B)  feet/sec  
C)  feet/sec  
D)  feet/sec

Question 9

Solve the given triangle and round to one decimal place.

A = 151.0 yd., $\alpha$ = 69.0°, $\beta$= 63.4°

Accepted Answer

A)  $\gamma$= 47.6°, b = 144.6 yd. , c = 119.4 yd. 
B)  $\gamma$= 47.6°, b = 119.4 yd. , c = 144.6 yd. 
C)  $\gamma$ = 47.6°, b = 157.7 yd. , c = 124.7 yd. 
D)  $\gamma$ = 47.6°, b = 190.9 yd. , c = 182.8 yd.

Question 10

Use the reciprocal identity 
  
to calculate sec 45°.

Accepted Answer

The answer of Use the reciprocal identity 
  
to...

Question 11

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.

Accepted Answer

A)  0.51 miles/second 
B)  1,540.00 miles/second 
C)  1.96 miles/second 
D)  3.51 miles/second

Question 12

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.

Accepted Answer

A)  0.58 ft 
B)  29.11 ft 
C)  1.73 ft 
D)  11.20 ft

Question 13

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.

Accepted Answer

The answer of A parking lot is to have the...

Question 14

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

Accepted Answer

The answer of Use the triangle to write cscθ, if...

Question 15

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.

Accepted Answer

The answer of The terminal side of an angle θ...

Question 16

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.

Accepted Answer

The answer of Use the right triangle diagram below and...

Question 17

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.

Accepted Answer

A)  126 meters/second 
B)  126/ 25 meters/second 
C)  239/ 25 meters/second 
D)  239 meters/second

Question 18

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

Accepted Answer

The answer of Find the area of the triangle described....

Question 19

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.

Accepted Answer

The answer of Find the linear speed of a point...

Question 20

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.

Accepted Answer

A)  Q1 
B)  QII 
C)  QIII 
D)  QIV

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 =

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.

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 θ\thetaθ if θ\thetaθ is in standard position and has a measure of 225°.

Indicate the quadrant in which the terminal side of θ\thetaθ must lie in order for the following to be true. Tan θ\thetaθ is positive and cos θ\thetaθ 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., α\alphaα = 69.0°, β\betaβ = 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 θ\thetaθ = 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 θ\thetaθ must lie in order for the following to be true: Cos θ\thetaθ is positive and tan θ\thetaθ is negative.

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.

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.

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.