Mth215 Week 3 Hw

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Current Score : – / 63 Due : Sunday, August 26 2018 12:00 AM PDT

1. –/2 pointsAufCAT8 5.1.001.

Find the measure (if possible) of the complement and the supplement of the angle. (If not possible, enter IMPOSSIBLE.)

45°

complement °

supplement °

2. –/4 pointsAufCAT8 5.1.003.

Find the measure (if possible) of the complement and the supplement of the angle. (If not possible, enter IMPOSSIBLE.)

complement ° '

supplement ° '

3. –/1 pointsAufCAT8 5.1.019.

Convert the degree measure to exact radian measure.

4. –/1 pointsAufCAT8 5.1.023.

Convert the degree measure to exact radian measure.

120°

Homework 3 (Homework)

Mary Ann Carissa Oledan MTH 215 (1808), section 1808, Summer 2 2018 Instructor: Victor Zinenberg

WebAssign

60°45'

30°

5. –/1 pointsAufCAT8 5.1.021.

Convert the degree measure to exact radian measure.

6. –/1 pointsAufCAT8 5.1.031.

Convert the radian measure to exact degree measure.

°

90°

11π 5

8. –/6 pointsAufCAT8 5.2.005.

Find the values of the six trigonometric functions of θ for the right triangle with the given sides.

5

8

sin θ =

cos θ =

tan θ =

csc θ =

sec θ =

cot θ =

9. –/1 pointsAufCAT8 5.2.013.

Let θ be an acute angle of a right triangle for which Find tan θ.

tan θ =

sin θ = .5 13

10.–/1 pointsAufCAT8 5.2.022.

Let θ be an acute angle of a right triangle for which Find sin θ.

sin θ =

11.–/1 pointsAufCAT8 5.2.039.

Use a calculator to find the value of the trigonometric function to four decimal places.

tan 32°

12.–/1 pointsAufCAT8 5.3.009.

Evaluate the trigonometric function of the quadrantal angle, or state that the function is undefined. (If an answer is undefined, enter UNDEFINED.)

sin 270°

13.–/1 pointsAufCAT8 5.3.015.

Evaluate the trigonometric function of the quadrantal angle, or state that the function is undefined. (If an answer is undefined, enter UNDEFINED.)

14.–/1 pointsAufCAT8 5.3.017.

Evaluate the trigonometric function of the quadrantal angle, or state that the function is undefined. (If an answer is undefined, enter UNDEFINED.)

cos θ = .2 5

cos π 2

tan π

15.–/1 pointsAufCAT8 5.3.041.

Find the measure of the reference angle θ' for the given angle θ.

16.–/1 pointsAufCAT8 5.3.043.

Find the measure of the reference angle θ' for the given angle θ.

17.–/1 pointsAufCAT8 5.4.023.

Find the exact value of the function.

18.–/1 pointsAufCAT8 5.4.027.

Find the exact value of the function.

θ = 150° θ' = °

θ = 355° θ' = °

cos − 2π 3

sin 3π 2

19.–/1 pointsAufCAT8 5.4.021.

Find the exact value of the function.

20.–/1 pointsAufCAT8 5.5.023.

Graph one full period of the function defined by the equation.

tan 7π 6

y = 3 cos x

23.–/1 pointsAufCAT8 5.6.025.

Sketch one full period of the graph of the function.

24.–/1 pointsAufCAT8 6.2.005.

Find (if possible) the exact value of the expression. (If an answer is undefined, enter UNDEFINED.)

y = cot x5 2

sin(60° + 45°)

25.–/1 pointsAufCAT8 6.2.007.

Find (if possible) the exact value of the expression. (If an answer is undefined, enter UNDEFINED.)

26.–/1 pointsAufCAT8 6.2.009.

Find (if possible) the exact value of the expression. (If an answer is undefined, enter UNDEFINED.)

27.–/1 pointsAufCAT8 6.2.017.

Find (if possible) the exact value of the expression. (If an answer is undefined, enter UNDEFINED.)

28.–/1 pointsAufCAT8 6.2.029.

Write the expression in terms of a single trigonometric function.

cos(45° − 30°)

tan(120° − 45°)

cos 85° cos 25° + sin 85° sin 25°

sin 7x cos 4x − cos 7x sin 4x

29.–/1 pointsAufCAT8 6.3.007.

Write the trigonometric expression in terms of a single trigonometric function.

30.–/1 pointsAufCAT8 6.3.011.

Write the trigonometric expression in terms of a single trigonometric function.

31.–/3 pointsAufCAT8 6.3.017.

Find the exact values of sin 2α, cos 2α, and tan 2α given the following information.

sin 2α =

cos 2α =

tan 2α =

32.–/1 pointsAufCAT8 6.4.007.

Write the expression as the sum or difference of two functions.

2 sin 3α cos 3α

cos2 5α − sin2 5α

cos α = − 90° < α < 180°12 13

cos 4x sin x

33.–/1 pointsAufCAT8 6.4.009.

Write the expression as the sum or difference of two functions.

34.–/1 pointsAufCAT8 6.4.013.

Find the exact value of the expression. Do not use a calculator.

35.–/1 pointsAufCAT8 6.4.025.

Write the expression as the product of two functions.

36.–/1 pointsAufCAT8 6.4.027.MI.

Write the expression as the product of two functions.

sin 5x cos x1 2

cos 75° cos 15°

sin 5θ + sin 3θ

cos 5θ + cos 3θ

37.–/1 pointsAufCAT8 6.5.005.

Find the exact radian value.

38.–/1 pointsAufCAT8 6.5.007.

Find the exact radian value.

39.–/1 pointsAufCAT8 6.5.009.

Find the exact radian value.

40.–/2 pointsAufCAT8 6.5.023.

Use a calculator to approximate each function accurate to four decimal places.

(a)

(b)

sin−1 1

cos−1 2 2

tan−1 − 3 3

sin−1(0.4254)

tan−1(56.7505)

41.–/1 pointsAufCAT8 6.6.006.

Solve the equation for solutions in the interval Round approximate solutions to the nearest ten-thousandth. (Enter your answers as a comma-separated list.)

42.–/1 pointsAufCAT8 6.6.007.

Solve the equation for solutions in the interval Round approximate solutions to the nearest ten-thousandth. (Enter your answers as a comma-separated list.)

43.–/1 pointsAufCAT8 6.6.033.

Solve the equation, where Round approximate solutions to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

44.–/1 pointsAufCAT8 7.2.033.

Find the area of the given triangle. Round the area to the same number of significant digits given for each of the given sides.

square units

0 ≤ x < 2π.

2 sin x = 3 x =

0 ≤ x < 2π.

tan x − 1 = 0 x =

0° ≤ x < 360°.

3 − 6 sin x = 7 sin x + 2 x =

A = 129°, b = 11, c = 25

45.–/1 pointsAufCAT8 7.2.034.

Find the area of the given triangle. Round the area to the same number of significant digits given for each of the given sides.

square units

46.–/1 pointsAufCAT8 7.2.037.

Find the area of the given triangle. Round the area to the same number of significant digits given for each of the given sides.

square units

B = 125°, a = 39, c = 25

a = 18, b = 11, c = 14