Find the exact values of the indicated trigonometric functions. write fractions in lowest terms.
find sin b and tan b.

For this case we have that by definition of trigonometric relations of a rectangular triangle, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. While the tangent of the same angle is given by the leg opposite the angle on the leg adjacent to the angle.

Then, according to the figure we have:

Step-by-step explanation:

We have been given a right triangle. We are asked to find the and for our given triangle.

We know that sine relates opposite side of right triangle to its hypotenuse.

We can see that AC is opposite side to angle B and  AB is hypotenuse of the given triangle.

We know that tangent relates opposite side of right triangle to its adjacent.

We can see that AC is opposite side to angle B and  BC is adjacent side of the angle B.

step-by-step explanation:

options

in 2010, the population of the state of california is 37.29 × 10⁶

step-by-step explanation:

population of los angeles = 3.79 × 10⁶

population of california = 9.84 × population of los angeles

                                        = 9.84 × 3.79 × 10⁶

                                        = 37.2936 × 10⁶

                                        = 37.29 × 10⁶

∴ in 2010, the population of the state of california is 37.29 × 10⁶