Download Unit 7 Using Identities to Solving Trig Equations

Unit 7 Using Identities to Solving Trig Equations
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Mathematics
Trigonometry and Analytical Geometry
September
6 weeks
Published
Enduring Understandings
Identities are used to evaluate, simplify, and solve trigonometric expressions and equations.
Identities are algebraically proven relationships that we can use in a variety of ways.
Essential Questions
How can we use trigonometric identities to solve for the remaining five trigonometric functions when given the value
of one trigonometric function?
How can we use the sum or difference of two angles to evaluate trigonometric functions?
How can we use the half angle or double angle formulas to evaluate trigonometric functions?
Content
Vocabulary
Reciprocal Identities
Ratio Identities
Pythagorean Identities
Sum & Difference Formula
Half-Angle Formula
Double-Angle Formulas
Skills
Use trigonometric identities to simplify trigonometric expressions and to verify other identities.
Find the excact value of a trigonometric expressino using the Sum and Difference of two angles.
Find Exact value of trigonometric expression using Double and Half Angle Formulas
Use all types of identities to solve trigonometric equations
Resources
Standards
CCSS.Math.Content.HSF-TF.C.8
Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1 and use it to find sin(θ), cos(θ),
or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
CCSS.Math.Content.HSF-TF
Trigonometric Functions
CCSS.Math.Content.HSF-TF.C
Prove and apply trigonometric identities
CCSS.Math.Content.HSF-TF.C.9
Prove the addition and subtraction formulas for sine, cosine, and tangent and use
them to solve problems.