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Trigonometry

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Section 1

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A quarter rotation around the unit circle

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Date created

Mar 14, 2020

Cards (43)

Section 1

(43 cards)

A quarter rotation around the unit circle

Front

π/2 or 90°

Back

cos(π/3)

Front

1/2

Back

Tangent

Front

The ratio of the side opposite of a right triangle divided by the adjacent side for a right triangle.

Back

sec(θ)

Front

1/cosθ Hypotenuse/Adjacent

Back

Special Right Triangles

Front

refers to the 45-45-90 and 30-60-90 right triangles

Back

y-coordinate for the unit circle

Front

sin(θ)

Back

Quadrant II

Front

(-,+)

Back

Opposite

Front

the side that does not touch your angle.

Back

All Students Take Calculus

Front

Acronym for which trig functions are positive in a given quadrant (All, Sine, Tangent, Cosine)

Back

cos(315°)

Front

√3/2

Back

Sine

Front

The ratio of the side opposite of a right triangle divided by the hypotenuse for a right triangle.

Back

Hypotenuse

Front

The side opposite the right angle in a right triangle.

Back

Quadrant I

Front

(+,+)

Back

Converting Radians to Degrees

Front

multiply by 180/π

Back

Unit Circle

Front

a circle with a radius of 1, centered at the origin

Back

Quadrant IV

Front

(+,-)

Back

Right triangle

Front

A triangle that has a 90 degree angle.

Back

Cosine

Front

The ratio of the adjacent side of a right triangle divided by the hypotenuse.

Back

Initial side of an angle

Front

starting position of the rotated ray in the formation of an angle

Back

Trigonometry

Front

the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Back

A half rotation around the unit circle

Front

π or 180°

Back

Pythagorean Triplet

Front

3-4-5 5-12-13 8-15-17

Back

Angle in standard position

Front

An angle is said to be in standard position if its initial side coincides with the positive x-axis and its vertex coincides with the origin

Back

Vertex

Front

The common endpoint of an angle

Back

cot(θ)

Front

1/tanθ cos(θ)/sin(θ) Adjacent/Opposite

Back

Pythagorean Theorem

Front

in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs A²+B²=C²

Back

sin(π)

Front

0

Back

cos(2π)

Front

1

Back

sin(5π/4)

Front

-√2/2

Back

csc(θ)

Front

1/sinθ Hypotenuse/Opposite

Back

Pythagorean Identity

Front

sin²θ + cos²θ = 1

Back

A full rotation around the unit circle

Front

2π or 360°

Back

x-coordinate for the unit circle

Front

cos(θ)

Back

sin(240°)

Front

-√3/2

Back

Adjacent

Front

The side that is next to your angle.

Back

Terminal side of an angle

Front

the ray where measurement of an angle stops

Back

A variable typically used to represent a missing angle measure

Front

θ

Back

Quadrant III

Front

(-,-)

Back

A Radian

Front

One radius length subtended around a circle to form an arc.

Back

Converting Degrees to Radians

Front

multiply by π/180

Back

Trigonometric Ratio

Front

A ratio of the lengths of two sides in a right triangle.

Back

Angle

Front

A figure formed by two rays with a common endpoint

Back

A 3/4 rotation around the unit circle

Front

3π/2 or 270°

Back