angles
unit circle
graphs
identities
real life
100

This angle has coordinates (0,1)(0,1) on the unit circle.

what is 90 or pie/2

100

The cosine of 0.is this value.

what is 1 

100

The graph of sine starts at this y-value when x=0

0

100

sin 2  x +cosx=


1

100

Sine and cosine are commonly used to study these repeating patterns.

What are waves?

200

The sine of 30∘30∘ equals this value.

1/2

200

The ordered pair for 60

(1/2,radient3/2)

200

The graph of cosine starts at this y-value when x=0

1

200

This identity gives tan⁡xtanx in terms of sine and cosine.

x=sin x/cos x 

200

Engineers use trigonometry to measure the height of these structures.

buildings or towers

300

This angle has cosine equal to −1

180 

300

The sine of 270

-1

300

The period of both sine and cosine is this.

2pie

300

The cosine of a negative angle equals this expression.

cos(-x)=cos x 

300

This science uses sine and cosine to model sound waves

physics

400

The tangent of 45equals this number.

400

the angle has coordinates (square root -2/2,square root2/2)

135.

400

The amplitude of y=3 sin⁡ x is this number

3

400

The sine of a negative angle equals this expression.

sin (-x) = -sin x 

400

GPS and navigation systems use this branch of math involving sine and cosine.

trigonometry

500

This quadrant has positive cosine and negative sine.

Quadrant IV

500

The cosine of 210is this value.

square root -3/2

500

The phase shift of y=cos⁡(x−pie) is this.

pie units 

500

This identity equals 1/cos x 

sec x 

500

This field uses trigonometric functions to create realistic graphics and animation.

computer graphics

M
e
n
u