I need to isolate y. I've been trying

Colt Rhodes

Colt Rhodes

Answered question

2022-04-07

I need to isolate y. I've been trying to change the tan for the cos but at the end I don't know how to continue.
x=tan(3y)+1cos(3y)

Answer & Explanation

Gonarsu2dw8

Gonarsu2dw8

Beginner2022-04-08Added 19 answers

Hint:
x=sin3y+1cos3y=1+tan3y21tan3y2=tan(π4+3y2)
Kendall Wilkinson

Kendall Wilkinson

Beginner2022-04-09Added 17 answers

Making use of the identity
tan2a+1=sec2a
You can rearrange the terms in this manner.
xtan3y=sec3y
Squaring both sides
x22xtan3y+tan23y=tan23y+1
x22xtan3y=1
tan3y=x212x
utilizing the formulae for tangent half-angles
Let t=tan(3y2) then
x=2t1t2+1+t21t2=(1+t)21t2
x=1+t1t
We obtain by cross-multiplying to solve for t.
t=x1x+1

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