Trig Functions-Finding Missing Angles and Sides

Front

What is the definition of a trigonometric function?

Back

A trigonometric function relates the angles of a triangle to the lengths of its sides.

Front

What is the sine function?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

How do you find the missing side of a right triangle using sine?

Back

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

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How do you find the missing side of a right triangle using cosine?

Back

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

Front

How do you find the missing side of a right triangle using tangent?

Back

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

Front

What is the Pythagorean theorem?

Back

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

Front

How do you calculate the angle using the sine function?

Back

To calculate the angle using sine, use the formula: angle = sin⁻¹(opposite/hypotenuse).

Front

How do you calculate the angle using the cosine function?

Back

To calculate the angle using cosine, use the formula: angle = cos⁻¹(adjacent/hypotenuse).