Question

If tan0 = 3/4, find sin0

Answer 1

`\text{b. }\sin \theta =(3)/(5)`

Explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If
`\tan \theta =(3)/(4)` as given in the problem, then the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be
`h=√(4^2+3^2)=√(25)=5`.

The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse. Therefore,
`\sin \theta =(3)/(5)` (o/h).

Answer 2

b

Explanation: