Trig!

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function?

Back

The cosine function (cos) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side.

Front

What does SOH CAH TOA stand for?

Back

SOH CAH TOA is a mnemonic to remember the definitions of sine, cosine, and tangent: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

How do you find the missing side using sine?

Back

To find a missing side using sine, use the formula: sin(angle) = opposite/hypotenuse. Rearrange to find the opposite side: opposite = hypotenuse * sin(angle).

Front

How do you find the missing side using cosine?

Back

To find a missing side using cosine, use the formula: cos(angle) = adjacent/hypotenuse. Rearrange to find the adjacent side: adjacent = hypotenuse * cos(angle).

Front

How do you find the missing side using tangent?

Back

To find a missing side using tangent, use the formula: tan(angle) = opposite/adjacent. Rearrange to find the opposite side: opposite = adjacent * tan(angle).

Front

What is the inverse sine function?

Back

The inverse sine function (sin⁻¹ or arcsin) is used to find the angle when the sine value is known. For example, if sin(x) = 0.5, then x = sin⁻¹(0.5).

Front

What is the inverse cosine function?

Back

The inverse cosine function (cos⁻¹ or arccos) is used to find the angle when the cosine value is known. For example, if cos(x) = 0.5, then x = cos⁻¹(0.5).

Front

What is the inverse tangent function?

Back

The inverse tangent function (tan⁻¹ or arctan) is used to find the angle when the tangent value is known. For example, if tan(x) = 1, then x = tan⁻¹(1).