Trig Ratios

Front

What are the three primary trigonometric ratios?

Back

Sine (sin), Cosine (cos), Tangent (tan)

Front

Define Sine (sin) in terms of a right triangle.

Back

Sine is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

Define Cosine (cos) in terms of a right triangle.

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

Define Tangent (tan) in terms of a right triangle.

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the formula to find the missing angle using the sine function?

Back

sin(θ) = opposite/hypotenuse; θ = sin⁻¹(opposite/hypotenuse)

Front

What is the formula to find the missing angle using the cosine function?

Back

cos(θ) = adjacent/hypotenuse; θ = cos⁻¹(adjacent/hypotenuse)

Front

What is the formula to find the missing angle using the tangent function?

Back

tan(θ) = opposite/adjacent; θ = tan⁻¹(opposite/adjacent)

Front

How do you determine which trig function to use in a problem?

Back

Identify the sides of the triangle you know and the side you need to find. Use sin, cos, or tan based on the sides involved.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150° (in the range of 0° to 360°) depending on the context.

Front

If cos(θ) = 0.8, what is θ?

Back

θ = 36.87° or 323.13° (in the range of 0° to 360°) depending on the context.