Solving Missing Sides of Triangle Using Trig Functions

Front

What is the sine function in a right triangle?

Back

The sine function (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine function (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in a right triangle?

Back

The tangent function (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find a missing side using sine?

Back

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

Front

How do you find a missing side using cosine?

Back

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

Front

How do you find a missing side using tangent?

Back

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

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150° (in degrees) or θ = π/6 or 5π/6 (in radians).

Front

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

Back

The angles in a right triangle determine the ratios of the lengths of the sides.

Front

How do you round a number to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place; if it's 5 or more, round up.