Solve Trig Equations

Front

Define the cosine function in terms of a right triangle.

Back

In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the range of the cosine function?

Back

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

Front

Solve for θ: cosθ = -√(3)/2 on θ∈[0, 2π).

Back

θ = 5π/6, 7π/6.

Front

What is the period of the sine function?

Back

The period of the sine function is 2π.

Front

Solve for x: tan(x) + 1 = 2.

Back

x = π/4, 5π/4.

Front

What is the sine of 30 degrees?

Back

sin(30°) = 1/2.

Front

Solve for θ: sinθ = ½ on θ∈[0, 2π).

Back

θ = π/6, 5π/6.

Front

What is the value of sin(90°)?

Back

sin(90°) = 1.

Front

Define the tangent function in terms of sine and cosine.

Back

The tangent function is defined as tan(x) = sin(x)/cos(x).

Front

What is the solution to sinx = 1?

Back

x = 90°.