4.0 Triangle Trigonometry Basics

Front

What does SOH-CAH-TOA stand for in trigonometry?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What type of triangles can SOH-CAH-TOA be used for?

Back

SOH-CAH-TOA can only be used for right triangles.

Tags

CCSS.HSG.SRT.C.8

Front

How do you calculate the sine of an angle in a right triangle?

Back

The sine of an angle is calculated as the length of the opposite side divided by the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

How do you calculate the cosine of an angle in a right triangle?

Back

The cosine of an angle is calculated as the length of the adjacent side divided by the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

The tangent of an angle is calculated as the length of the opposite side divided by the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

The Pythagorean theorem states that 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 other two sides (a² + b² = c²).

Tags

CCSS.8.G.B.8

Front

What is the formula to find the angle using the tangent function?

Back

The formula to find the angle using the tangent function is θ = tan⁻¹(opposite/adjacent).

Tags

CCSS.HSG.SRT.C.8

Front

In a right triangle, if the opposite side is 300 and the adjacent side is 400, how do you find the angle?

Back

You can find the angle using θ = tan⁻¹(300/400).

Tags

CCSS.HSG.SRT.C.8

Front

What is the cosine of an angle if the adjacent side is 5 and the hypotenuse is 8?

Back

The cosine of the angle is calculated as cos(θ) = adjacent/hypotenuse = 5/8.

Tags

CCSS.HSG.SRT.C.6

Front

What is the sine of an angle if the opposite side is 6 and the hypotenuse is 10?

Back

The sine of the angle is calculated as sin(θ) = opposite/hypotenuse = 6/10 = 0.6.

Tags

CCSS.HSG.SRT.C.6