Solving Trig Equations Practice

Front

What is the sine function?

Back

The sine function, denoted as sin(θ), is a trigonometric function that relates the angle θ to the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function, denoted as cos(θ), is a trigonometric function that relates the angle θ to the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function?

Back

The tangent function, denoted as tan(θ), is a trigonometric function that relates the angle θ to the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is the Pythagorean identity?

Back

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

Front

How do you solve a basic trigonometric equation like sin(θ) = 0.5?

Back

To solve sin(θ) = 0.5, find the angles θ in the range [0, 2π) where the sine function equals 0.5, which are θ = π/6 and θ = 5π/6.

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions for all angles.

Front

What are the values of sin(0), cos(0), and tan(0)?

Back

sin(0) = 0, cos(0) = 1, and tan(0) = 0.

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1].

Front

What is the range of the cosine function?

Back

The range of the cosine function is [-1, 1].

Front

What is the range of the tangent function?

Back

The range of the tangent function is all real numbers (-∞, ∞).