Math 2: CW 5.3-B SOHCAHTOA Inverse

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent functions in a right triangle: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

When can we use SOHCAHTOA?

Back

SOHCAHTOA can only be used for right triangles.

Front

How do you find the sine of an angle?

Back

To find the sine of an angle, divide the length of the side opposite the angle by the length of the hypotenuse.

Front

How do you find the cosine of an angle?

Back

To find the cosine of an angle, divide the length of the side adjacent to the angle by the length of the hypotenuse.

Front

How do you find the tangent of an angle?

Back

To find the tangent of an angle, divide the length of the side opposite the angle by the length of the side adjacent to the angle.

Front

What is the inverse sine function?

Back

The inverse sine function, denoted as sin⁻¹ or arcsin, is used to find the angle whose sine is a given value.

Front

What is the inverse cosine function?

Back

The inverse cosine function, denoted as cos⁻¹ or arccos, is used to find the angle whose cosine is a given value.

Front

What is the inverse tangent function?

Back

The inverse tangent function, denoted as tan⁻¹ or arctan, is used to find the angle whose tangent is a given value.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150° (in the range of 0° to 360°).

Front

If cos(θ) = 0.6, what is θ?

Back

θ = 53.13° or 306.87° (in the range of 0° to 360°).