Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

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

username2448733

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(edited 2 weeks ago)

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.

5\sin \theta = \cos \theta

. Move over the

-5\sin \theta

to the other side.

5\frac{\sin \theta}{\cos \theta} = 1

. Divide by

\cos \theta

.

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

Original post by Kaimund600

It looks so simple now. Thank you very much!

You're very welcome. :cool:

:cool:

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