Trig Ratios-Finding missing sides and angles.

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function?

Back

The cosine function (cos) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of 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): c² = a² + b².

Front

How do you find the missing side using sine?

Back

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

Front

How do you find the missing side using cosine?

Back

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

Front

How do you find the missing side using tangent?

Back

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

Front

How do you find a missing angle using sine?

Back

To find a missing angle using sine, use the inverse sine function: angle = sin⁻¹(opposite/hypotenuse).

Front

How do you find a missing angle using cosine?

Back

To find a missing angle using cosine, use the inverse cosine function: angle = cos⁻¹(adjacent/hypotenuse).

Front

How do you find a missing angle using tangent?

Back

To find a missing angle using tangent, use the inverse tangent function: angle = tan⁻¹(opposite/adjacent).