SOLUTION: Find sin 2x, cos 2x, and tan 2x from the given information. csc x = 4, tan x < 0 sin 2x = cos 2x = tan 2x =

Algebra ->  Trigonometry-basics -> SOLUTION: Find sin 2x, cos 2x, and tan 2x from the given information. csc x = 4, tan x < 0 sin 2x = cos 2x = tan 2x =       Log On


   

Question 667427: Find sin 2x, cos 2x, and tan 2x from the given information.
csc x = 4, tan x < 0
sin 2x =
cos 2x =
tan 2x =
Answer by solver91311(24713) About Me  (Show Source):
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Hence,

But since , .

But since the tangent is the sine divided by the cosine and we have a positive sine value, and are given that the tangent is negative, the cosine must be negative. Hence:



Using the double angle formulae:









Then since:






John

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