Question

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.

B = 137°, c = 9, b = 14

Answer 1

Find angle C using the Law of Sines:
14/sin 137 = 9/sin C

Answer 2

Cross Multiply, you get 9 sin 137 = 14 sin C

Answer 3

sin C = (9 sin 137)/14

Answer 4

Now, find angle C

Answer 5

Make sure, your calculator is in degrees mode

Answer 6

I got 0.4384275172

Answer 7

Incorrect, it is 26.00359352, or 26 degrees to the nearest degree.

You want to find the angle whose sine is.... So use sin(^-1) button

Answer 8

C = 26 degrees, so therefore that triangle exists.

Answer 9

So A = 17°, a = 6

Answer 10

yes, A = 17 degrees

Answer 11

Thank You !

Answer 12

You would need to use Law of Sines again to find a

Answer 13

≈ 6

Answer 14

OK, I just didnt work that out

Answer 15

It's okay.

Answer 16

The question never asked to find a, just asked to determine if the triangle exists or not. So we know that triangle exists.

Answer 17

Okay, do you mind helping me with a few more problems? That is if you do not mind.

Answer 18

Type your next question.

Answer 19

Express the complex number in trigonometric form.