Flashcard-Trig Basics-SOHCAHTOA

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent functions: - SOH: Sine = Opposite / Hypotenuse - CAH: Cosine = Adjacent / Hypotenuse - TOA: Tangent = Opposite / Adjacent

Front

How do you find the tangent of an angle in a right triangle?

Back

Tangent (tan) of an angle is found by dividing the length of the opposite side by the length of the adjacent side: tan(θ) = Opposite / Adjacent.

Front

If tanZ = 21/28, what is the value of tanZ in simplest form?

Back

tanZ = 3/4 (simplified from 21/28).

Front

What is the sine of an angle?

Back

Sine (sin) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse: sin(θ) = Opposite / Hypotenuse.

Front

What is the cosine of an angle?

Back

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = Adjacent / Hypotenuse.

Front

How do you find the measure of a missing angle in a right triangle?

Back

You can use the inverse trigonometric functions (sin⁻¹, cos⁻¹, tan⁻¹) or the properties of triangles (sum of angles = 180°) to find the missing angle.

Front

If sin(40°) = x/19, how do you solve for x?

Back

Multiply both sides by 19: x = 19 * sin(40°).

Front

What is the relationship between the sides of a right triangle and the angles?

Back

The ratios of the lengths of the sides of a right triangle are constant for a given angle, which defines the sine, cosine, and tangent functions.

Front

What is the formula for finding the length of a side using the sine function?

Back

The formula is: Sin(θ) = Opposite / Hypotenuse, which can be rearranged to find the opposite side: Opposite = Hypotenuse * Sin(θ).

Front

How do you calculate the length of a side using the cosine function?

Back

The formula is: Cos(θ) = Adjacent / Hypotenuse, which can be rearranged to find the adjacent side: Adjacent = Hypotenuse * Cos(θ).