UP:MA19.PRE.37
Vocabulary
- Identity
- Even and odd function
- Sine
- Cosine
- Tangent
- Cosecant
- Secant
- Cotangent
- Fundamental Identities
- Reciprocal Identities
- Quotient Identities
- Pythagorean Identities
- Sum and Difference Identities
- Double-Angle Identities
- Half-Angle Identities
Knowledge
Students know:
- Applications of the Pythagorean Theorem.
- Operations with trigonometric ratios.
- Operations with radians and degrees.
- Even and odd functions.
Skills
Students are able to:
- Use and transform the Pythagorean Identity.
- Simplify trigonometric expressions.
- Verify trigonometric identities.
- Write the sum and difference identities for sine, cosine, and tangent.
- Use sum and difference identities to findexact values of a trig function.
- Derive the double angle and half angleidentities.
Understanding
Students understand that:
- The fundamental identities allow functions to be written in terms of other functions. Then algebraic methods can be applied to simplify expressions or to match it with another expression
- Given the trig values for a pair of angles, identities can be used to find the trig values of the sum or difference of the given angles.
- Given the trig values for an angle, identities can be used to find the trig values for twice and half the angle.
