Question

What is the value of sin B in simplest form

Answer 1

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)`