Question

Find cot θ if csc θ = sqrt17/4 and tan θ > 0.

Answer 1

csc θ=1/sin θ= sqrt17/4
sin θ=4/sqrt17
then you should use the formula sin^2 θ+cos^2 θ=1. can you do that??

Answer 2

um i think so! So, 4/sqrt17^(2) + cos^(2)θ=1... then would I use the sin^2θ + cos^2θ = 1 formula?

Answer 3

you must use the\[\sin ^{2}θ+\cos ^{2}θ=1\]
ok??

Answer 4

yeah! so (4/sqrt17)^2 + (4/sqrt17)^2-1.... would that be right?

Answer 5

(=1)

Answer 6

\[\ (\frac{ 4 }{ \sqrt{17} })^{2}+\cos ^{2}θ=1\]
\[\frac{ 16 }{ 17 }+\cos ^{2}θ=1\]
cos^2 θ=1/17
and cos θ=1/sqrt17
can you find cot θ??

Answer 7

cot θ = (1/sqrt17) / (4/sqrt17) = 1/4?

Answer 8

ok. you're correct :)

Answer 9

thank you so much!

Answer 10

welcome :)