Question

Please Help! (Math)(tanβ)

1) What is the exact value of tanβ?

A:
`(7 √(95) )/(96)`
B:
`(√(95) )/(7)`
C:
`(5)/(7)`
D:
`(√(5) )/(7)`

2) What is the exact value of sinβ? (Same picture)

A:
`(7)/(12)`
B:
`(12√(95) )/(95)`
C:
`(7)/(5)`
D:
`(√(95) )/(12)`

Answer 1

Find the missing side first.

• x =
  `√(12^2 - 7^2) = √(144 - 49) = √( 95)`

1) tangent = opposite leg / adjacent leg

• tanβ = √95/7
• Correct choice is B

2) sine = opposite leg / hypotenuse

• sinβ = √95/12
• Correct choice is D