Question

given sin theta= -1/3 and sec theta > 0, find cos theta and tan theta

Answer 1

sin^2 + cos^2 = 1

1/9 + cos^2 = 1

cos^2 = 1 - 1/9

cos = sqrt(8/9) = 2sqrt(2)/9

Answer 2

tan = sin/cos

Answer 3

since sin is - thats either in q3 or q4

Answer 4

sec is cos is + in q4

Answer 5

so tan is - in q4 :)

Answer 6

so what does cos theta and tan theta equal?

Answer 7

i gave cos; and tan, for this case, is -sin/cos

Answer 8

tan is negative so that might be a bit misleading

tan = - |sin/cos| might be a better representation

Answer 9

the answer include numers, though. like cos theta = - 2 the sqaure root of 2 and tan = 1/ 2 the square root of 2

Answer 10

the numbers are what you get when you actually take the time to do the calculations.

Answer 11

cos was calculated for you; so take the initiative to determine the tan :)