Section 6.3 - Section 6.3 Trigonometric Identities...

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Unformatted text preview: Section 6.3 Trigonometric Identities Identically Equal Two functions, f and g, are said to be identically equal if f(x)=g(x), for all x for which both f ang g are defined This type of equation is said to be an identity. An equation that is not an identity is called a conditional equation. You have seen several identities so far. Quotient & Reciprocal Identities The quotient identities are tan()= sin()/cos() cot()= cos()/sin() The reciprocal identities are sec()=1/sin() csc()=1/cos() cot()=1/tan() Pythagorean & Even-Odd Identities The pythagorean identities are sin2()+cos2()=1 cot2()+1=csc2() tan2()+1=sec2() The evenodd identities are sin()=sin() cos()=cos() tan()=tan() csc()=csc() sec()=sec( ) cot()=cot() Establishing Identities You use these Identities to show that other equations are identities. ...
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