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Created with Fabric.js 1.4.5 Proving an identity is very different in concept from solving an equation. Though you'll use many of the same techniques, they are not the same. Verifying Trigonometric Identities VTI Proving an identity is very differentin concept from solving an equation. Though you'll use many of the same techniques, they are not the same, and the differences are what can cause you problems. This infographicis going to help you verify trigonometric identities the right way! Proving an identity is very differentin concept from solving an equation. Though you'll use many of the same techniques, they are not the same, and the differences are what can cause you problems. This infographicis going to help you verify trigonometric identities the right way! Don't be the one out! ODD IDENTITY ALWAYS TRUE An "identity" is an equation or statement that is always true, no matter what. Fundamental Trigonometric Identities To "prove" an identity, you have to usesteps to show that one side of anequation can be transformedinto the other side of the equation.You DO NOT plug values in.To prove an identity, you cannot workon both sides of the equation at the same time. IMPORTANT HOW TO 1. 2. 3. 4. 5. 1. Start with the most complicated side.2. Most complicated seemsto be the left hand side. Convert all things to sines and cosines.First step: covert the cotangent(cot) and cosecant (csc) to theiralternative expressions.3. Now multiply by the reciprocalto get rid of division.4. Now we can see that the sinescancel. This leaves us withcos(x).5. Then the proof of all theidentity is when you put all thesteps together.*We can see that this identityhas proved true because the LHS has been simplified to equal cos(x). If we look back to step one we can see that theright hand side was cos(x).
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