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Name Date Pythagorean Identities Matching Worksheet Write the letter of the answer that matches the problem. 1. Simplify: a. 1 1 Cos2x 2. Simplify: b. Yes, it is proved. 3. Simplify: c. 2 tan2x 4.

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Pythagorean identities, as the name suggests, are derived from the Pythagoras theorem. ing to this theorem, in any right-angled triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides (legs).

The Pythagorean identity tells us that no matter what the value of θ is, sin²θ+cos²θ is equal to 1. We can prove this identity using the Pythagorean theorem in the unit circle with x²+y²=1.

Since the legs of the right triangle in the unit circle have the values of sin θ and cos θ, the Pythagorean Theorem can be used to obtain sin2 θ + cos2 θ = 1. This well-known equation is called a Pythagorean Identity. It is true for all values of θ in the unit circle.

The proof of the Pythagorean identity for sine and cosine is essentially just drawing a right triangle in a unit circle, identifying the cosine as the coordinate, the sine as the coordinate and 1 as the hypotenuse.

List all Pythagorean Identities. Pythagorean IdentityAlternative ways sin2θ + cos2θ = 1 1 - sin2θ = cos2 θ (or) 1 - cos2θ = sin2θ sec2θ - tan2θ = 1 1 + tan2θ = sec2θ (or) sec2θ - 1 = tan2θ csc2θ - cot2θ = 1 1 + cot2θ = csc2θ (or) csc2θ - 1 = cot2θ

Taking the basic Pythagorean theorem of a squared plus b squared equals c squared, the hypotenuse is set to 1 in the unit circle. Then, using the definitions of cosine and sine as the legs, the identity sin(a) squared plus cos(a) squared equals 1 can be proved.

Step 1: Substitute the given value for sine (or cosine) into the Pythagorean identity s i n 2 ( θ ) + c o s 2 ( θ ) = 1 . Step 2: Solve for cosine (or sine) and simplify. Step 3: The resulting answer will be a negative and positive value.

The Pythagorean theorem is a cornerstone of math that helps us find the missing side length of a right triangle. In a right triangle with sides A, B, and hypotenuse C, the theorem states that A² + B² = C². The hypotenuse is the longest side, opposite the right angle. Created by Sal Khan.

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© Copyright 1997-2025
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232