Question

Trigonometry. Will medal and fan. (Pre-calculus)

Answer 1

\[Cos \theta = \frac{ 1 }{ 2 } , Sin \theta < 0; \] find Csc and Tan

Answer 2

I know the answers, no idea how to get them.

Answer 3

where is angle theta? which quadrant is it located in?

Answer 4

seems to be quadrant four.

Answer 5

correct

Answer 6

now we use the identity

cos^2 + sin^2 = 1

to find sine when cos(theta) = 1/2

Answer 7

what do you get?

Answer 8

square root of three over two?

Answer 9

it's negative because we're told that sin(theta) < 0

Answer 10

oh okay since sin is y/r r=2 and y=square root of three and x is going to equal one based on the cos definition

Answer 11

oh okay so y = negative square root of three

Answer 12

and then I just use the definitions (csc=r/y and tan=y/x)