Trigonometry word problems practice

Front

What is the cosine ratio in a right triangle?

Back

In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the sine ratio in a right triangle?

Back

In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

In a right triangle, the tangent of an angle is 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 is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

How do you find the height of a ladder leaning against a wall?

Back

Use the Pythagorean Theorem: if the ladder is the hypotenuse and the distance from the wall is one leg, solve for the height (h) using h² + distance² = ladder length².

Front

What is the relationship between sine, cosine, and tangent?

Back

Tangent can be expressed as the ratio of sine to cosine: tan(θ) = sin(θ) / cos(θ).

Front

What is the formula for finding the angle using sine?

Back

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

Front

What is the formula for finding the angle using cosine?

Back

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

Front

What is the formula for finding the angle using tangent?

Back

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

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.