Trig Ratios - Finding 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

What does 'Soh Cah Toa' stand for?

Back

'Soh Cah Toa' is a mnemonic to remember the definitions of the sine, cosine, and tangent ratios: Soh = sin = opposite/hypotenuse, Cah = cos = adjacent/hypotenuse, Toa = tan = opposite/adjacent.

Front

How do you find the height of an object using trigonometric ratios?

Back

To find the height of an object, you can use the sine or tangent ratios, depending on the information given. For example, if you know the distance from the object and the angle of elevation, you can use tan(θ) = height/distance.

Front

What is the relationship between the sides of a right triangle and its angles?

Back

In a right triangle, the lengths of the sides are proportional to the sine, cosine, and tangent of the angles. This means that knowing one angle and one side allows you to find the other sides.

Front

How do you solve for a missing side using the sine ratio?

Back

To solve for a missing side using the sine ratio, rearrange the formula sin(θ) = opposite/hypotenuse to find the opposite side: opposite = hypotenuse * sin(θ).

Front

How do you solve for a missing side using the cosine ratio?

Back

To solve for a missing side using the cosine ratio, rearrange the formula cos(θ) = adjacent/hypotenuse to find the adjacent side: adjacent = hypotenuse * cos(θ).

Front

How do you solve for a missing side using the tangent ratio?

Back

To solve for a missing side using the tangent ratio, rearrange the formula tan(θ) = opposite/adjacent to find the opposite side: opposite = adjacent * tan(θ).

Front

What is the purpose of using trigonometric ratios in real-life applications?

Back

Trigonometric ratios are used in real-life applications to solve problems involving heights, distances, and angles, such as in construction, navigation, and physics.