17.3 - Copy - 17-3 Relations Among the Trigonometric Ratios...

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Unformatted text preview: 17-3 Relations Among the Trigonometric Ratios A) By Pythagoreans theorem we have... Now divide both sides by We can rewrite this as How else can we represent this equation? B) Theorem 17-1 a) For every , ( a. , C) Theorem 17-2 a) For every , a. or b) Proof D) Theorem 17-3 a) If and are complementary, then a. or for degrees we have Proof: D) Strategies 1) Simplify the more complicated side of the identity until it is identical to the other side 2) Transform both sides of the identity into the same expression 3) Convert to 4) When you have,, or in the denominator, then multiply by the conjugate 5) If you have or they are equal to Examples, prove the following identities 1) 2) sin x cos x tan x = 1 - cos2 x 3) ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State University.

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17.3 - Copy - 17-3 Relations Among the Trigonometric Ratios...

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