50 \cos^2 x+5 \cos x=6 \sin^2 x, find \tan x

Susan Nall

Susan Nall

Answered question

2022-01-16

50cos2x+5cosx=6sin2x, find tanx

Answer & Explanation

redhotdevil13l3

redhotdevil13l3

Beginner2022-01-17Added 30 answers

It's correct. The signs are necessary because cosx=27 doesn't tell us which quadrant (either 1st or 4th) the argument is in. You can also use the identity
1+tan2x=1cos2xtanx=±1cos2x1
to directly compute tanx  from  cosx.

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