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

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.7

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).

Tags

CCSS.HSG.SRT.C.8

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).

Tags

CCSS.HSG.SRT.C.8