12/2 EXIT TICKET

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

What is the formula for tangent in terms of sine and cosine?

Back

tan(θ) = sin(θ) / cos(θ) for any angle θ.

Front

If tan(θ) = opposite/adjacent, what is the opposite side if tan(28°) = x/14?

Back

The opposite side x = 14 * tan(28°).

Front

What is the value of tan(28°) approximately?

Back

tan(28°) ≈ 0.5317.

Front

How do you solve for x in the equation tan(28°) = x/14?

Back

Multiply both sides by 14: x = 14 * tan(28°).

Front

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

Back

sin(θ) = tan(θ) * cos(θ).

Front

What is the definition of sine in a right triangle?

Back

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

Front

What is the definition of cosine in a right triangle?

Back

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

Front

If sin(θ) = 0.5, what is the angle θ in degrees?

Back

θ = 30° or 150°.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.