6.4 Trig Ratios - Find Missing Sides

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. It is expressed as: sin(θ) = opposite/hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is expressed as: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is expressed as: tan(θ) = opposite/adjacent.

Front

How do you find the missing side using sine?

Back

To find a missing side using sine, use the formula: sin(θ) = opposite/hypotenuse. Rearrange to find the opposite side: opposite = hypotenuse * sin(θ).

Front

How do you find the missing side using cosine?

Back

To find a missing side using cosine, use the formula: cos(θ) = adjacent/hypotenuse. Rearrange to find the adjacent side: adjacent = hypotenuse * cos(θ).

Front

How do you find the missing side using tangent?

Back

To find a missing side using tangent, use the formula: tan(θ) = opposite/adjacent. Rearrange to find the opposite side: opposite = adjacent * tan(θ).

Front

What is the relationship between the sides in a right triangle?

Back

In a right triangle, the relationship between the sides is defined by the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

If you know two sides of a right triangle, which trig function do you use to find the angle?

Back

If you know two sides, you can use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹ to find the angle.

Front

What is the formula to find the opposite side using the sine function?

Back

The formula is: opposite = hypotenuse * sin(θ).

Front

What is the formula to find the adjacent side using the cosine function?

Back

The formula is: adjacent = hypotenuse * cos(θ).