Topic 43 Using Trig

Front

What is the sine function in trigonometry?

Back

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

Front

What is the cosine function in trigonometry?

Back

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

Front

What is the tangent function in trigonometry?

Back

The tangent function (tan) is a 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 length of a side in a right triangle using sine?

Back

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

Front

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

Back

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

Front

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

Back

To find the length of a 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

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, which can be expressed using sine, cosine, and tangent.

Front

How do you solve for an angle using the sine function?

Back

To solve for an angle using sine, use the inverse sine function: angle = sin⁻¹(opposite/hypotenuse).

Front

How do you solve for an angle using the cosine function?

Back

To solve for an angle using cosine, use the inverse cosine function: angle = cos⁻¹(adjacent/hypotenuse).