Trigonometry: Ratios, Solving Sides, and Solving Angles

Front

What is the Sine Ratio?

Back

The Sine Ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle. It is expressed as: Sine(θ) = Opposite/Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Cosine Ratio?

Back

The Cosine Ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is expressed as: Cosine(θ) = Adjacent/Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Tangent Ratio?

Back

The Tangent Ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. It is expressed as: Tangent(θ) = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

How do you solve for a side using the Sine Ratio?

Back

To solve for a side using the Sine Ratio, use the formula: Opposite = Hypotenuse * Sine(θ).

Tags

CCSS.HSG.SRT.C.8

Front

How do you solve for a side using the Cosine Ratio?

Back

To solve for a side using the Cosine Ratio, use the formula: Adjacent = Hypotenuse * Cosine(θ).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you solve for a side using the Tangent Ratio?

Back

To solve for a side using the Tangent Ratio, use the formula: Opposite = Adjacent * Tangent(θ).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find an angle using the Sine Ratio?

Back

To find an angle using the Sine Ratio, use the formula: θ = arcsin(Opposite/Hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find an angle using the Cosine Ratio?

Back

To find an angle using the Cosine Ratio, use the formula: θ = arccos(Adjacent/Hypotenuse).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula to find an angle using the Tangent Ratio?

Back

To find an angle using the Tangent Ratio, use the formula: θ = arctan(Opposite/Adjacent).

Tags

CCSS.HSG.SRT.C.8

Front

If tan(58) = x/11, how do you solve for x?

Back

To solve for x, rearrange the equation: x = 11 * tan(58).

Tags

CCSS.HSG.SRT.C.8