Trig Finding Missing 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

How do you find a 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 a 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 a 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 angles and sides in a right triangle?

Back

In a right triangle, the angles determine the ratios of the sides. The larger the angle, the longer the opposite side relative to the adjacent side.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Front

What is the sine of 33 degrees?

Back

The sine of 33 degrees is approximately 0.5446.