If cos B = 3/5 , then what is the positive value of cos 1/2 B , in simplest radical form with a rational denominator?
1 answer:
Answer:
cos(B/2) = 2√5 / 5
Step-by-step explanation:
Use half angle formula:
cos²(B/2) = (1 + cos B) / 2
cos²(B/2) = (1 + 3/5) / 2
cos²(B/2) = (8/5) / 2
cos²(B/2) = 4/5
cos(B/2) = 2/√5
cos(B/2) = 2√5 / 5
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