EXAMPLE 17) Given that sin (A + B) = sin A cos B + cos A sin B, find the value of sin 75°.
SØLUNON Putting A 45° and B = 30° in sin (A + B ) = sin A cos B + cos A sir
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Putting A = 45o and B = 30o in sin (A + B) = sin A cos B + cos A sin B , we get
sin ( 45o+30o) = sin45o cos30o + cos45o sin 30o
⇒sin75o=21×23+21×21=223+221=223+1
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