What is the value of sin B in simplest form

Peter Bisimbeko asked Jan 10, 2023

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5 votes

Peter Bisimbeko asked Jan 10, 2023

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14 votes

Answer:

sin B =
(√(85) )/(17)

Explanation:

note that
√(a) ×
√(a) = a

sin B =
(opposite)/(hypotenuse) =
(CD)/(BD) =
(5)/(√(85) )

to simplify, rationalise the denominator by multiplying numerator and denominator by
√(85) , then

sin B =
(5(√(85)) )/(√(85)(√(85)) ) =
(5(√(85)) )/(85) =
(√(85) )/(17)

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