Pre-Calc: Simplifying Trig Identities

Front

What is the definition of cotangent (cotθ)?

Back

cotθ = 1/tanθ

Front

How can cotangent (cotθ) be expressed in terms of sine and cosine?

Back

cotθ = cosθ/sinθ

Front

What is the definition of tangent (tanθ)?

Back

tanθ = sinθ/cosθ

Front

What is the relationship between sine, cosine, and tangent?

Back

tanθ = sinθ/cosθ

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²θ + cos²θ = 1

Front

How do you convert between degrees and radians?

Back

To convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π.

Front

What is the value of sin(0°) and cos(0°)?

Back

sin(0°) = 0, cos(0°) = 1

Front

What is the value of sin(90°) and cos(90°)?

Back

sin(90°) = 1, cos(90°) = 0

Front

What is the unit circle and its significance in trigonometry?

Back

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

Front

What are the co-function identities for sine and cosine?

Back

sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ)