Trigonometric Functions

Angles

100

This is the complement of 53^o.

What is 37^o?

200

This is the amount of degrees in one full rotation.

What is 360^o?

300

This is how many degrees equates to 3π/4 radians, as well as what quadrant the terminal side of the angle lies in.

What is 135^o in Q2?

400

This is the supplement of 2π/3.

What is π/3?

500

This is the angle in degrees from 0 to 360 that is coterminal with 39π/12.

What is 225^o?

Right Triangle Trig

100

In a right triangle with one angle measuring 20^o, this is the measure of the other acute angle.

What is 70^o?

200

This is the length of the hypotenuse of a right triangle with legs measuring 16cm and 30cm.

What is 34cm?

300

A right triangle has an acute angle labelled "A". The length of the side opposite A is 5 and the hypotenuse's length is 14. This is the exact value of cos(A).

What is (√171)/14?

400

A 28-foot-long piece of wire is attached to the top of a pole at one end and nailed to the ground at the other end. The wire makes a 30^o angle with the ground. This is the height of the pole.

What is 14 feet?

500

In a right triangle, c=12 and A=15^o. These are the values of a, b, and B respectively (rounded to 4 decimal places).

What are 3.1058, 11.5911, and 75^o?

Unit Circle Trig

100

This is the term for angles whose terminal sides lie on an axis.

What are quadrantal angles?

200

This is the quadrant that -150^o lies in.

What is Q3?

300

DAILY DOUBLE! This is sin(60^o).

What is (√3)/2?

400

This is the sign of tan(-150^o).

What is positive?

500

This is cos(660^o).

What is 1/2?

Domain and Range

100

This is the domain of all sin and cos functions.

What is all real numbers?

200

This is the range of the parent(no transformations) sin and cos functions.

What is [-1,1]?

300

This is where y=tan(x) will have asymptotes.

Wherever the cos(x) has an x-intercept.

or

x= π* k where k is an integer

400

This is the range of f(x)=4sec(2x-3)-1.

What is (-inf,-5]U[3,inf)?

500

These are the values excluded from the domain of f(x)=-3tan(3x-3)-4.

What are x = π/6 + kπ/3 + 1?

Transformations

100

This is the amplitude of y=-2sin(3x)

What is 2?

200

This is the formula for finding the period of a tan or cot function.

What is pi/B?

300

This is the variable for determining phase shift of a trig function.

What is C?

400

Graph y=2sin(3(x-2))-1

Amplitude = 2, Period = 2π/3, Phase Shift = 2, Midline : y = -1 I can't put images in this sorry :(

500

Given y=sin(2x-pi)+1, this is the distance between two consecutive maximums or minimums.

What is pi?