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Unit 7 Using Identities to Solving Trig Equations Content Area: Course(s): Time Period: Length: Status: 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.