Trig Solving for a Side

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 is the mnemonic to remember trigonometric ratios?

Back

Soh Cah Toa, which stands for: Soh = Sine = Opposite/Hypotenuse, Cah = Cosine = Adjacent/Hypotenuse, Toa = Tangent = Opposite/Adjacent.

Front

How do you find the length of a side using the sine ratio?

Back

To find the length of a side using the sine ratio, rearrange the formula: w = hypotenuse * sin(θ).

Front

How do you find the length of a side using the cosine ratio?

Back

To find the length of a side using the cosine ratio, rearrange the formula: adjacent = hypotenuse * cos(θ).

Front

How do you find the length of a side using the tangent ratio?

Back

To find the length of a side using the tangent ratio, rearrange the formula: opposite = adjacent * tan(θ).

Front

What is the value of sin(40°)?

Back

sin(40°) is approximately 0.6428.

Front

What is the value of cos(40°)?

Back

cos(40°) is approximately 0.7660.

Front

What is the value of tan(40°)?

Back

tan(40°) is approximately 0.8391.