Key Words
Trig Tools
Unit Circle
Special Right Triangles
Theorems
100

These angles have measures that add up to 90 degrees.

What are Complimentary Angles?

100

This tool can be used to calculate the side length of a right triangle, given two known side lengths.

What is the Pythagorean Theorem

100

This is the radius of a unit circle.

What is 1 unit?
100

This is the length of a diagonal of a square with side lengths of 3ft.

What is 3 times the square root of 2 feet?

100

This states that the sum of the three angle measures in any triangles must be 180 degrees.

What is the Triangle Angle Sum Theorem?
200

This word describes two triangles with angles of equal measure.

What is Similar?
200

This tool can be used to find a missing hypotenuse length of a right triangle, given an angle and the length of the leg next to the given angle.

What is Cosine?

200

This equals 180 degrees

What is pi?

200

This is the length of the hypotenuse of a 30/60/90 right triangle with a short leg of length of 4 inches.

What is 8 inches?

200

This is equivalent to the cosine of theta.

What is the sine of 90 - theta

300

This is the inverse function of tangent, equal to one divided by the tangent.

What is arctan?

300

This tool can be used to find the length of the radius of a circle centered at the origin, given the x- and y- coordinates of a point on the circle.

What is the Pythagorean Theorem?

300

This equals 3 pi /4 radians.

What is 135 degrees?

300

This is the length of the long leg of a 30/60/90 right triangle whose hypotenuse is 10 ft.

What is 5 times the square root of 3 ft?

300

This is equivalent to the x-coordinate on a unit circle squared plus the y-coordinate on a unit circle squared (x2 + y2)

What is 1?

400

This states that the angle measures of any triangle sum to 180 degrees.

What is the Triangle Angle Sum Theorem?

400

This tool can be used to calculate the measure of an angle created by a leg and the hypotenuse of a right triangle, given the lengths of the hypotenuse and the leg opposite this angle are given.

What is arcsin?

400

This equals 30 degrees.

What is pi/6 radians?

400

This is the angle measure who's tangent is 1.

What is 45 degrees?

400

This is the cosine of 90-theta when the sine of theta is 1/2

What is 1/2?

500

A unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius.

What is a radian?

500

This tool can be used to calculate the distance between a camera and the top of a building if the height of the building and the angle of the camera are known.

What is Sine?

500

This equals 5pi / 6 radians.

What is 150 degrees?

500

This is the angle measure who's tangent is 1 divided by the square root of three.

What is 30 degrees?
500

This ratio is equivalent to B/C given similar triangles ABC and XYZ.

What Y/Z?

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