Trig Equations Practice

Front

Solve for x in the interval 0≤x<2π: 2sin²x - sinx - 3 = 0

Back

x = 3π/2

Front

Solve for x in the interval 0≤x<2π: csc²x - cscx - 2 = 0

Back

x = 3π/2, π/6, 5π/6

Front

Solve for x in the interval 0≤x<2π: 1 + sinx = 2cos²x

Back

x = 3π/2, π/6, 5π/6

Front

Solve for θ in the interval [0, 2π): 2cos²θ - 1 = 0

Back

θ = π/4, 3π/4, 5π/4, 7π/4

Front

Solve for x in the interval [0, 2π): (2sin x - 1)(8 - 4cos x) = 0

Back

x = π/6, 5π/6

Front

Define the sine function in a right triangle.

Back

Sine of an angle = Opposite side / Hypotenuse.

Front

Define the cosine function in a right triangle.

Back

Cosine of an angle = Adjacent side / Hypotenuse.

Front

What is the Pythagorean identity?

Back

sin²x + cos²x = 1.

Front

What is the range of the sine function?

Back

[-1, 1].

Front

What is the range of the cosine function?

Back

[-1, 1].