Question

Please help me with this!!

Answer 1

C

Explanation:

`sin^(-1) x = csc x\\`

sin =
`(opposite)/(hypotenuse)`

`csc = (1)/(sin) = (1)/((opposite)/(hypotenuse)) = (hypotenuse)/(opposite)`

hypotenuse is 5 and opposite is 8,3 -----> third option

Answer 2

Answer: Second picture, B

Explanation:

Sine is opposite/hypotenuse. Since this is inverse sine, we are looking for the measure of the angle, but the opposite /hypotenuse still applies to sine. We need to find the figure that has 5 opposite of ∠x and 8.3 is the hypotenuse.

We can eliminate C and D because 8.3 is not the hypotenuse, when it has to be according to sine.

The first picture shows that 8.3 is the hypotenuse, but 5 is not opposite of ∠x. It is adjacent to ∠x. This would actually be cos⁻¹(5/8.3).

The second picture, B, shows that 5 is the opposite of ∠x and 8.3 is the hypotenuse. Therefore, B is correct.