Tangent Ratio

Front

What is the tangent ratio?

Back

The tangent ratio is a trigonometric function defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. It is often represented as tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

Using the angle of 55°, which tangent ratio can find the depth 'd'?

Back

tan(55°) = d / 500

Tags

CCSS.HSG.SRT.C.8

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

From ∠C, what side is AB?

Back

Opposite

Front

If tan(θ) = 1, what is the angle θ?

Back

θ = 45°

Tags

CCSS.HSG.SRT.C.7

Front

What is the formula to find the opposite side using the tangent ratio?

Back

opposite = tan(θ) * adjacent

Tags

CCSS.HSG.SRT.C.8

Front

What is the value of tan(0°)?

Back

tan(0°) = 0

Tags

CCSS.HSG.SRT.C.6

Front

What is the value of tan(90°)?

Back

tan(90°) is undefined.

Tags

CCSS.HSF.TF.A.2

Front

If tan(θ) = 3/4, what is the opposite side if the adjacent side is 8?

Back

opposite = tan(θ) * adjacent = (3/4) * 8 = 6.

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the angle using the tangent ratio?

Back

Use the inverse tangent function: θ = tan⁻¹(opposite/adjacent).

Tags

CCSS.HSG.SRT.C.8