Trig Missing angles and sides wkst

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 measure of an angle using the sine function?

Back

To find the measure of an angle using the sine function, use the inverse sine function: θ = sin⁻¹(opposite/hypotenuse).

Front

How do you find the measure of an angle using the cosine function?

Back

To find the measure of an angle using the cosine function, use the inverse cosine function: θ = cos⁻¹(adjacent/hypotenuse).

Front

How do you find the measure of an angle using the tangent function?

Back

To find the measure of an angle using the tangent function, use the inverse tangent function: θ = tan⁻¹(opposite/adjacent).

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

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or θ = 150° (in the range of 0° to 180°).

Front

If cos(θ) = 0.6, what is θ?

Back

θ = 53.13° or θ = 306.87° (in the range of 0° to 360°).

Front

If tan(θ) = 1, what is θ?

Back

θ = 45° or θ = 225° (in the range of 0° to 360°).