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Consider the following unit circle sketched below. By the definition of trigonometric functions, the points P and Q on the terminal sides of angles

 

Consider the following unit circle sketched below. By the definition of trigonometric functions, the points P and Q on the terminal sides of angles a and are labelled as shown in the figure below. P(cosa; sina) (cos B; sin 3) A(1:0) Use the distance formula to show that PQ=2-2(cosa cos p+sina sin ) (4)

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