Right Triangle Trigonometry (Algebra II Honors)

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): c² = a² + b².

Front

What is the sine function in a right triangle?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse: sin(Θ) = opposite/hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: cos(Θ) = adjacent/hypotenuse.

Front

What is the tangent function in a right triangle?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side: tan(Θ) = opposite/adjacent.

Front

What is the relationship between sine and cosecant?

Back

Cosecant (csc) is the reciprocal of sine: csc(Θ) = 1/sin(Θ).

Front

What is the relationship between cosine and secant?

Back

Secant (sec) is the reciprocal of cosine: sec(Θ) = 1/cos(Θ).

Front

What is the relationship between tangent and cotangent?

Back

Cotangent (cot) is the reciprocal of tangent: cot(Θ) = 1/tan(Θ).

Front

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

Back

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

Front

What is the formula to find the hypotenuse using sine?

Back

If you know the opposite side and the angle, you can find the hypotenuse using: hypotenuse = opposite/sin(Θ).