Pre - Calculus Part 1: Lesson 5 and Lesson 6 Quizzes

Find the value of tan( sin^-1 ( -1/2 ))

- √3 / 3

Simplify (cot x - csc x)(cot x + csc x)

-1

Find the exact value of 105°

-2 - √3

Simplify cot x - csc x cos x.

0

How many triangles are there that satisfy the conditions a = 13, b = 6, α = 6°?

1

Find the exact value of sec (-660)°.

2

Write 7π/60 in degrees

21°

Find one positive and one negative angle coterminal with an angle of 9π/6

21π/6 ;-3π/6

Which of the following expressions is equal to 1 - cos^4 θ?

2sin^2 θ - sin^4 θ

sin2x + √3 / 2 = 0

2π / 3 + πn; 5π / 6 + πn

Evaluate sin(Arcos( - 4 / √25))

3 / √25

Find the area of a sector with a central angle of 170° and a radius of 17 millimeters. Round to the nearest tenth.

428.7 mm^2

Change 50° to radian measure in terms of π.

5 / 18 π

Find one positive and one negative angle coterminal with an angle of 166°.

526°, -194°

Write 62° 21´ 47´´ as a decimal to the nearest thousandth.

62.363°

Find the area of the triangle with a = 12.9, b = 12.4, and c = 17.1. Round to the nearest tenth.

79.7 units^2

Solve 4 + 2 sin x = 14 - 8 sin x for 0° ≤ x ≤ 180°

90°

The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below. (this question includes a table) a. Write a sinusoidal function that models Omaha's monthly temperature variation. b. Use the model to estimate the normal temperature during the month of April.

IT IS NOT . . . a. y = 28sin (π/6 t - 7π/6) + 49 b. y(4) = 49° This answer is wrong do not select this one!!!

Graph y = 1/6 csc θ.

Put y = 1/6 csc θ in Mathway.com and you will get the correct answer

Graph y = sec ( 1/4 θ + π)

Put y = sec ( 1/4 θ + π) in Mathway.com and you will get the correct answer

Determine the amplitude, period, and phase shift for y = 7 cos (θ - 90°) and use them to plot the graph of the function.

amplitude = 7; period = 360°; phase shift = 90°

What basic trigonometric identity would you use to verify that sin^2x + cos^2x / cos x = sec x?

cos^2x + sin^2x = 1t

If sinθ = 2/3 and secθ < 0, find cosθ and tanθ

cosθ = -√5 / 3 tanθ = -2√5 / 5

What basic trigonometric identity would you use to verify that cot x sin x = cos x?

cot x = cos x / sin x

For a circle of radius 3 feet, find the arc length s subtended by a central angle of 21°.

s = 7/20 π feet

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (13, 84) lies on its terminal side.

sin a = 84/85 cos a = 13/85 tan a = 84/13 csc a = 85/84 sec a = 85/13 cot a = 13/84

Suppose θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ = -2/17. Find the exact values of the five remaining trigonometric functions of θ.

sin θ = - 17 / √293 cos θ = 2 / √293 csc θ = - √293 / 17 sec θ = √293 / 2 tan θ = - 17 / 2

If cosθ = 4 / 7 and cscθ < 0, find sinθ and tanθ

sinθ = -√33 / 7 tanθ = -√33 / 4

Write cos(arcsin 3x + acrcos x) as an algebraic expression of x that does not involve trigonometric functions.

x√1 - 9x^2 - 3x√1-x^2

Which of the following are the solutions of cot ^2x + 2 = 2 csc x on the interval [0, 2π)?

π / 2

cot x sin x + cot = 0

π / 2 + n π, 3π / 2 + 2n π

Find the exact value of cos 11π/6

√3/2

Find the exact value of sin 75°

√6 + √2 / 4

Solve ΔABC by using the measurements ∠ABC = 90°, ∠BAC = 40°, and a = 10. Round measures of sides to the nearest tenth and measures of angles to the nearest degree.

∠C = 50°, c ≈ 11.9, b ≈ 15.6