Question

Please help me with this!!

Answer 1

Answer: Second picture, B

Step-by-step 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.

Answer 2

Answer:

C

Step-by-step explanation:

$sin^{-1} x = csc x$

sin = $\frac{opposite}{hypotenuse}$

$csc = \frac{1}{sin} = \frac{1}{\frac{opposite}{hypotenuse}} = \frac{hypotenuse}{opposite}$

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