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# Rearranging equation to use identity sin θ ÷ cos θ = tan θ

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1. I have the question from the WJEC May 2012 C2 Past Paper:
Find all values of Φ in the range 0° ≤ Φ ≤ 360° satisfying cosΦ - 5sinΦ = 0

I know that you can use the identity sinθ ÷ cosθ ≡ tanθ, but I don't know how to rearrange the equation given in order to use the identity. Can someone talk me through the rearranging steps please?

Many thanks.
2. (Original post by Kaimund600)
I have the question from the WJEC May 2012 C2 Past Paper:
Find all values of Φ in the range 0° ≤ Φ ≤ 360° satisfying cosΦ - 5sinΦ = 0

I know that you can use the identity sinθ ÷ cosθ ≡ tanθ, but I don't know how to rearrange the equation given in order to use the identity. Can someone talk me through the rearranging steps please?

Many thanks.
. Move over the to the other side.

. Divide by .
3. (Original post by Zacken)
.

It looks so simple now. Thank you very much!
4. add 5sinx to both sides:
cosx=5sinx
divide both sides by cosx
1=5(sinx/cosx)
1=5tanx
divide both sides by 5
1/5=tanx
5. (Original post by Kaimund600)
It looks so simple now. Thank you very much!
You're very welcome.

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