SOLUTION: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 6, x in Quadrant IV

Question 1162182: Find sin(2x), cos(2x), and tan(2x) from the given information.
sec(x) = 6, x in Quadrant IV
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Similar problem.
Make an effort.
Learn stuff.
---------------------------------------Find sin(2x), cos(2x), and tan(2x) from the given information.
cot(x) = 2/3, x in Quadrant I
--------------
cot(x) = 2/3
tan(x) = 3/2
-----
tan = y/x
r+=+sqrt%28x%5E2+%2B+y%5E2%29+=+sqrt%2813%29
==========================
sin(x) = y/r
cos(x) = x/r
-----
sin(2x) = 2*sin(x)*cos(x)
cos(2x) = sqrt(1 - sin^2(x))
tan(2x) = sin(2x)/cos(2x)
------------------------------------
If you just get the answer and don't understand, things will get a LOT worse soon.
RELATED QUESTIONS
Find sin 2x, cos 2x, and tan 2x from the given information. sec x = 8, x in Quadrant... (answered by tommyt3rd)

Find sin 2x, cos 2x, and tan 2x from the given information. sec x = 4, x in Quadrant... (answered by Theo)

Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 4, x in... (answered by Solver92311)

Find sin (2x), cos(2x), and tan(2x) from the given information. Write your answer as a... (answered by Edwin McCravy)

Find sin (2x), cos (2x), and tan (2x) from the given information. sec (x) = 10 x... (answered by lwsshak3)

Find sin (2x), cos(2x), and tan(2x) from the given information. Write your answer as a... (answered by Alan3354)

Find sin (2x), cos (2x), and tan (2x) from the given information. tan (x) = 1/2 x... (answered by lwsshak3)

Find sin(2x), cos(2x), and tan(2x) from the given information. cot(x) = 2/3, x in... (answered by Alan3354)

Find sin 2x, cos 2x, and tan 2x from the given information. tan x = −1/6, cos x... (answered by lwsshak3)