Triangles
Exponential Functions
Non-Exponential Functions
(NO CALCULATOR)
Unit Circle
(NO CALCULATOR)
Trigonometric Funcitions
100

Assume a triangle ABC. Side AB is 17.8 feet, side BC is 19.98 feet, and side CA is 22.8 feet. Find angle A.

56.8º

100

Convert -(pi/6) into degrees, and state which quadrant it is in

-30, IV

100

Determine if the following function is periodic or not. If it is, state the period, if not, briefly explain. https://bit.ly/3tOa8BH

It is. Period = 6

200

Assume a triangle ABC. Side AB is 20 meters, side AC is 14 meters, and angle A is 123º. Find angle B.

23.07º

200

What's the value of the cosine of the angle equivalent to the line that divides quadrants III and IV?

0

200

Find the amplitude and period of the function y = 4cos 2θ

Amplitude: 4

Period: Pi

300

Find the exact value of sin((2pi)/3)

(root3)/2

300

Find the amplitude and period of the function y = sin(x-pi)-3

Amplitude: 1

Period: 2pi

400

Suppose you invest $2700 at an annual interest rate of 2.9% compounded continuously. How much money will you have after 10 years?

$3604.35

400

Find the inverse of f(x)=2x3-1

cube root((x+1)/2)

400

Find the exact fractional value of tan(90)

Undefined

400

What's the value of y for the function sin(x-pi)-3, when x is equal to 2pi radians?

-3.5

500

Assume a triangle ABC. Side AB is 16 inches, side BC is 7 inches, and angle B is 31º. Find the area of triangle ABC to 5 significant figures.

28.842 in2

500

Suppose you invest $3200 at an annual interest rate of 1.9% continuously compounded. Your friend at another bank invested the same amount at the same interest rate compounded per annum. After 25 years, what (if any) will be the difference in capital return?

$22.88 in your favour

500

Given that f(x) = 3x-8 and g(x) = 4-8x, find f∘g(10)

-172

500

What are the coordinates of a point laying at (5pi)/6 radians on the edge of a unit circle?

(-(root3),1)

500

What's the value of y for the function 4cos 2θ, when x is equal to (7pi)/4 radians?

0