Definitions
Graphs and unit circle
Right triangles
triangles
Random
100

True or false: a Sine function is equal to a Cosine function shifted over by 90 degrees

True

100

What is sine(0)?

0
100

The special right triangle that has one angle of 30 has what other angle values?

90 and 60

100

true or false: the law of sines applies only to right triangles

False

100

What is the name of the theorem

a2+b2=c2

Pythagorean theorem

200
The tangent function is defined formally as...

the ratio of sine over cosine of an angle.

200

According to Charlie, what is the significance of the tangent function in a unit circle?

It is the slope of the line on the unit circle
200

An isosceles right triangle always has what angles?

45, 45, 90

200

Given a triangle with lengths 1, 1, and sqrt(2), what type of triangle is this?

isosceles right triangle

200

A line that splits another line in half is called a _____ line

bisecting line
300

What is the law of Sines?

Sin(a)/A=Sin(b)/B=Sin(c)/C

300

What is sin(90+x) equivalent to, expressed as a cosine function?

Cos(x)

300
Given an isosceles right triangle with one leg of length 7, what is the length of the hypotenuse?

7*sqrt(2)

300

True or false: you can use the law of cosines to solve for all the angles of a triangle given all three sides.

True

300

What is Newton's universal law of Gravitation?

F=Gmm/r
400

A function that follows the pattern of a sine graph is called a ______ function (not trigonometric)

Sinusoidal

400

Name 3 points at which tangent is undefined, in degrees.

90, 270, 450
400

Given a 30-60-90 triangle, if the shortest leg has length 1, what are the lengths of the other sides?

sqrt(3)/2 and 2

400

you have a triangle for which the sine of all the angles are the same. What type of triangle is this, and what is the ratio of the side lengths?

Equilateral, 1:1:1

400

Two _______ angles add up to 90, and two ______ angles add to 180

Complementary, supplementary

500

What is the law of Cosines?

A2=B2+C2-2BC*cos(a)

500

At any point on the Unit Circle, sin2(x)+cos2(x) is equal to what number?

bonus point: what is this rule called?

1

Bonus: Pythagorean identity

500

What law could you use to solve for the remaining lengths of a right triangle if you were given three angles and a side length?

Bonus: what if you were given three lengths? How could you solve for the remaining angles?

Law of Sines

Bonus: Law of Cosines

500

You are given a triangle with angles a, b, and c, and sin(a)=cos(b), cos(a)=sin(b). If the third angle is a right triangle, what is a+b?

90

500

The sub-field of physics that theorizes the randomness of atomic particles is called _____ physics

Quantum

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