Multiply the angle in degrees by π/180.

Add or subtract multiples of 360° (or 2π radians) to the given angle.

Use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to find the absolute value of cos(θ), then determine the sign based on the quadrant.

Use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to find the absolute value of sin(θ), then determine the sign based on the quadrant.

Divide sin(θ) by cos(θ): tan(θ) = sin(θ) / cos(θ).

Period = 2π / |b|.

Period = π / |b|.

Find the principal value using arcsin(a), then use the properties of sine to find other solutions in the desired interval.

Find the principal value using arccos(a), then use the properties of cosine to find other solutions in the desired interval.

Find the principal value using arctan(a), then add multiples of π to find other solutions in the desired interval.

Vertex at the origin, initial ray along the positive x-axis.

Angles sharing the same terminal ray, differing by multiples of 360° (or 2π radians).

Angle measure based on the arc length subtended on a circle; ratio of arc length to radius.

Ratio of the y-coordinate of a point on the unit circle to the radius: sin(θ) = y/r.

Ratio of the x-coordinate of a point on the unit circle to the radius: cos(θ) = x/r.

Slope of the terminal ray; ratio of the y-coordinate to the x-coordinate: tan(θ) = y/x.

tan(θ) = sin(θ) / cos(θ)

[-1, 1]

[-1, 1]

All real numbers.

$\sin(\theta) = \frac{y}{r}$

$\cos(\theta) = \frac{x}{r}$

$\tan(\theta) = \frac{y}{x}$

$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$

$\text{radians} = \text{degrees} \times \frac{\pi}{180}$

$\text{degrees} = \text{radians} \times \frac{180}{\pi}$

$\sin(2x) = 2\sin(x)\cos(x)$

$\sin^2(\theta) + \cos^2(\theta) = 1$

$2\pi$

$\pi$