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Trig Identities Lesson: Applications to Pythagorean Identities (full solutions)

Rated 5 out of 5, based on 2 reviews
5.0 (2 ratings)
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Niki Math
128 Followers
Grade Levels
9th - 12th
Subjects
Standards
CCSSHSF-TF.A.1
CCSSHSF-TF.A.3
CCSSHSF-TF.A.4
CCSSHSF-TF.C.8
CCSSHSF-TF.C.9
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Pages
21 pages
$4.40
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Description

Standards

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Description

In this lessson, students learn to apply the three most important Pythagorean identites and their variations. The lesson covers the following applications of Pythagorean identities:

• Evaluating trigonometric functions

• Simplifying trigonometric expressions

• Verifying or proving other trigonometric identities

It includes

o 6 solved examples & 6 similar to them for students to try to solve them by their own

o guidelines

o 21 various and engaging practice problems

o answer keys and full solutions

The lesson can be divided into two or three parts if preferred.

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Total Pages
21 pages
Answer Key
Included
Teaching Duration
N/A
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Standards

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to see state-specific standards (only available in the US).
CCSSHSF-TF.A.1
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
CCSSHSF-TF.A.3
Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–𝘹, π+𝘹, and 2π–𝘹 in terms of their values for 𝘹, where 𝘹 is any real number.
CCSSHSF-TF.A.4
Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
CCSSHSF-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.
CCSSHSF-TF.C.9
Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

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