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6.4 Cofunctions Students will learn about cofunctions in trigonometry Trigonometric Cofunctions The sine of an angle is equal to the cosine of its complement. A sin∠A = _______ cos∠B = _______ Key Fact 13 5 C B 12 Example Problems If sin(49)=cos(x), find the value of x that would make this statement true. If A and B are complimentary angles, and sinA = 3 , what is the cosB? 5 Trigonometry Cofunctions Part II Another way of saying the same thing Sin∠A =Cos∠B A We know this is true and ∠B = 90 ∠A So this is also true SinA = CosB C B SinA = Cos(90 A) Independent Practice In CAT, find the sinA and cosT. A sinA = _____ 26 12 C 10 cosT = ____ Is sinA = cosT? T For problems a f, find the missing value of cosine. 2