Unit 4 Right Triangle Trigonometry Review

Front

What is the definition of cosine 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 sine 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 tangent 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

What is the relationship between sine and cosine for complementary angles?

Back

If α and β are complementary angles, then sin(α) = cos(β) and cos(α) = sin(β).

Front

What is the cotangent ratio?

Back

Cotangent (cot) is the reciprocal of tangent, defined as cot(A) = 1/tan(A) = adjacent/opposite.

Front

How do you find the value of tan(330°)?

Back

tan(330°) = -√3/3.

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity states that sin²(θ) + cos²(θ) = 1 for any angle θ.

Front

What is the formula for finding the sine of an angle using the opposite side and hypotenuse?

Back

sin(θ) = opposite/hypotenuse.

Front

What is the formula for finding the cosine of an angle using the adjacent side and hypotenuse?

Back

cos(θ) = adjacent/hypotenuse.

Front

What is the formula for finding the tangent of an angle using the opposite and adjacent sides?

Back

tan(θ) = opposite/adjacent.