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MHF4U Trig IdentitiesPart A Name: Date: The following involve reciprocal, quotient, and Pythagorean relationships. Prove each one. 1. 2. 3. 4. 5. 6. 7. 8. 9. sin x tan x sec x cos x cos 4 x sin 4.

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Verifying Trigonometric Identities Change everything into terms of sine and cosine. Use the identities when you can. Start with simplifying the left-hand side of the equation, then, once you get stuck, simplify the right-hand side. As long as the two sides end up with the same final expression, the identity is true.

Trigonometry is hard because it deliberately makes difficult what is at heart easy. We know trig is about right triangles, and right triangles are about the Pythagorean Theorem. About the simplest math we can write is When this is the Pythagorean Theorem, we're referring to a right isosceles triangle.

The trigonometric ratio identities are: Tan θ = Sin θ/Cos θ Cot θ = Cos θ/Sin θ

The general method of proving trigonometric identities is to work on each side of the equation separately, and simplify or manipulate each side until you reach the same expression on both sides. We're done once we've reached the same expression on both sides of the equation, specifically t a n x .

0:11 10:54 Things out or making things simpler. So the more complicated side is usually easier to do that with.MoreThings out or making things simpler. So the more complicated side is usually easier to do that with. You can also write things using only sine and cosine.

There are multiple ways to represent a trigonometric expression. Verifying the identities illustrates how expressions can be rewritten to simplify a problem. Graphing both sides of an identity will verify it. Simplifying one side of the equation to equal the other side is another method for verifying an identity.

To prove an identity, you have to use logical steps to show that one side of the equation can be transformed into the other side of the equation. You do not plug values into the identity to prove anything. There are infinitely-many values you can plug in.

Many trig classes have you memorize these identities so you can be quizzed later (argh). You don't need to memorize them, you can work out the formula in about a minute.

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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
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
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