Trig Test

Sine

Opposite/Hypotenuse

Cosine

Adjacent/Hypotenuse

Tangent

Opposite/Adjacent

Secant

Reciprocal of Cosine, or Hypotenuse/Adjacent.

Cosecant

Reciprocal of Sine, or Hypotenuse/Opposite.

Cotangent

Reciprocal of Tangent, or Adjacent/Opposite.

How to find cotangent value of an angle using the unit circle

Cotangent = cosine (x-coordinate)/sine (y-coordinate) from the point on the unit circle corresponding to the angle.

How to find cosecant value of an angle using the unit circle

Cosecant = 1/sine (y-coordinate) from the point on the unit circle corresponding to the angle.

How to find secant value of an angle using the unit circle

Secant = 1/cosine (x-coordinate) from the point on the unit circle corresponding to the angle.

How to find tangent value of an angle using the unit circle

Tangent = sine (y-coordinate)/cosine (x-coordinate) from the point on the unit circle corresponding to the angle.

How to find a reference angle

A reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis. It is always measured as a positive angle between 0 and 90 degrees.

What functions look like for amp and period

y = A · sin(Bθ) or y = A · cos(Bθ):

y = A · sin(Bθ) or y = A · cos(Bθ): How to find amplitude

|A| absolute value of A, the number in front

y = A · sin(Bθ) or y = A · cos(Bθ): How to find period

2π/B — it's how long it takes the wave to complete one full cycle.

How do you draw an angle of elevation?

To draw an angle of elevation, start from a horizontal line representing the observer's line of sight and measure the angle upwards from this line to the point of interest.

How do you draw an angle of depression?

To draw an angle of depression, start from a horizontal line representing the observer's line of sight and measure the angle downwards from this line to the point of interest.