Solving Right Triangle Problems

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

When do you use sine in right triangle problems?

Back

Sine is used to find the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the sine ratio in a right triangle?

Back

Sine = Opposite ÷ Hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

Tangent = Opposite ÷ Adjacent.

Front

What is the purpose of inverse trigonometric functions?

Back

Inverse trigonometric functions are used to find an unknown angle when the lengths of the sides are known.

Front

If sin(θ) = 3/5, what is the value of cos(θ)?

Back

If sin(θ) = 3/5, then cos(θ) = 4/5, using the Pythagorean identity.

Front

How do you find the length of the opposite side given the hypotenuse and an angle?

Back

Use the formula: Opposite = Hypotenuse × sin(angle).

Front

How do you find the length of the adjacent side given the hypotenuse and an angle?

Back

Use the formula: Adjacent = Hypotenuse × cos(angle).

Front

What is the relationship between the sides of a right triangle and the angles?

Back

The angles determine the ratios of the lengths of the sides, which are defined by sine, cosine, and tangent.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse and a and b are the other two sides.