Question

If tan0 = 3/4, find sin0

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Answer:

$\text{b. }\sin \theta =\frac{3}{5}$

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If $\tan \theta =\frac{3}{4}$ 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 $h=\sqrt{4^2+3^2}=\sqrt{25}=5$.

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