Trigonometric Functions

Front

What is the definition of tangent in a right triangle?

Back

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

Front

How do you calculate the tangent of an angle θ?

Back

Tangent of angle θ can be calculated using the formula: tan(θ) = opposite/adjacent.

Front

What is the sine function in a right triangle?

Back

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

Front

How do you calculate the sine of an angle C?

Back

Sine of angle C can be calculated using the formula: sin(C) = opposite/hypotenuse.

Front

What is the cosine function in a right triangle?

Back

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

Front

How do you calculate the cosine of an angle C?

Back

Cosine of angle C can be calculated using the formula: cos(C) = adjacent/hypotenuse.

Front

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

Back

The relationship is given by the identity: tan(θ) = sin(θ)/cos(θ).

Front

What is the Pythagorean identity involving sine and cosine?

Back

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

Front

How can you find the sine of angle A if you know the lengths of the sides?

Back

You can find sin(A) using the formula: sin(A) = opposite/hypotenuse.

Front

What is the value of tan(θ) if the opposite side is 8 and the adjacent side is 12?

Back

tan(θ) = 8/12 = 2/3.