Lafayette Parish School System
Advanced Math Pre-Calculus Curriculum Map
Unit 3: Solving Trigonometric Equations/Identities
Time Frame:
CC #
Common Core
Evidence / Assessments of learning
Instructional
Notes/Strategies
Enrichment/Remediation
Strategies
Student Understandings






F.TF.6
F.TF.7
F.TF.4
F.TF.8
Understand that restricting a trigonometric
function to a domain on which it is always
increasing or always decreasing allows its
inverse to be constructed.
Use the inverse functions to solve
trigonometric equations that are arise in
modeling contexts; evaluate the solutions
using technology and interpret them in terms
of the context.
Use the unit circle to explain symmetry (odd
and even) and periodicity of trigonometric
functions.
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.
F.TF.9
Prove the addition and subtraction formulas
for sine, cosine, and tangent and use them to
solve problems.
F.TF.3
Use special triangles to determine
geometrically the values of sine, cosine,
Basic Trig Identities
Strategies for proving Trig Identities
Addition and Subtraction Identities for sine, cosine,
and tangent functions
Co-function Identities
Double-Angular Formulas
Half-Angle Formulas

Find the exact value of the inverse of sine, cosine, and
tangent functions
 Find an approximate value of the inverse of sine, cosine,
tangent, cotangent, secant, and cosecant functions
What is the difference between sine function and the restricted
sine function and why is it important when working with the
inverse sine function?
6.1 The Inverse of
Sine, Cosine, and
Tangent Functions
6.2 The Inverse
Trigonometric
Functions
Shmoop (See Links)



6.3 Trigonometric
Identities
Hotmath: Trigonometric
Identities
Identify possible identities
Basic Trig Identities
Use Addition and Subtraction identities for sine, cosine,
and tangent functions
 Use co-function identities
 Strategies for proving Trig Identities
How is proving or verifying a trig identity different than
solving a trig equation?



Use Sum and Difference Formulas to Find Exact Values
Use Sum and Difference Formulas to Establish Identities
Use Sum and Difference Formulas Involving Inverse Trig
Functions
Can students use the sum and difference identities and the
double angle identities?
Regents Prep: Inverse Trig
Functions
Investigating Inverse Trig
Functions-Activity
SMART Notebook:
Trigonometric Identities
TI NSpire CX Activity:
Precalculus: Proof of
Identities
6.4 Sum &
Difference Formulas
Trigonometric Identities
Discovery Activities
(Covers several)
Analyzemath: Sum and
Difference Formulas in
Trigonometry
Algebra Lab: Sum and
Difference Formulas
Lafayette Parish School System
Advanced Math Pre-Calculus Curriculum Map
Unit 3: Solving Trigonometric Equations/Identities
Time Frame:
CC #
Common Core
Evidence / Assessments of learning
Instructional
Notes/Strategies
Enrichment/Remediation
Strategies
 

, , and , and use the unit
3 4
6
circle to express the values of sine, cosine,
and tangent for   x,   x , and 2  x in
terms of their values for x, where x is any real
number.
tangent for
F.TF.9
F.TF.8
Prove the addition and subtraction formulas
for sine, cosine, and tangent and use them to
solve problems.
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.
 Use double angle identities
Can students use double angle formulas to find exact values?
Can students use half-angle formulas to find exact values?
6.5 Double & HalfAngle Formulas
Algebra Lab: Half and
Double Angle Formulas
WyzAnt: Trigonometric
Double-Angle and HalfAngle Formulas