Right Triangle Trigonometry

Front

What is the definition of a right triangle?

Back

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

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): a² + b² = c².

Front

What is the definition of sine (sin) in a right triangle?

Back

Sine (sin) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine (cos) in a right triangle?

Back

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

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

Back

To find the length of a side, use the appropriate trigonometric ratio (sin, cos, or tan) based on the known angle and the sides involved.

Front

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

Back

The angles in a right triangle are related to the lengths of the sides through trigonometric ratios, and the sum of the angles in any triangle is always 180 degrees.

Front

How do you calculate the angle using inverse trigonometric functions?

Back

To find an angle, use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹, based on the known ratios of the sides.

Front

What is the sine rule and when is it used?

Back

The sine rule states that in any triangle, the ratio of a side length to the sine of its opposite angle is constant. It is used in non-right triangles.

Front

What is the cosine rule and when is it used?

Back

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles. It is used to find a side or angle in any triangle.