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Math Help - Can I have some help with this trig equation?

  1. #1
    Junior Member
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    Can I have some help with this trig equation?

    Hi all

    Im kind of stuck on where to go with this trig equation:

    5 sin 3x = 7 cos 3x

    I was thinking maybe divide by  7 cos 3x to make it look like \frac{5 sin 3x}{7 cos 3x} = tan x

    Im really stuck on where to go

    Any help is greatly appreciated.

    Thanks
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by fishkeeper View Post
    Hi all

    Im kind of stuck on where to go with this trig equation:

    5 sin 3x = 7 cos 3x

    I was thinking maybe divide by  7 cos 3x to make it look like \frac{5 sin 3x}{7 cos 3x} = tan x

    Im really stuck on where to go

    Any help is greatly appreciated.

    Thanks
    5 sin 3x = 7 cos 3x \implies \frac{sin3x}{cos3x} = \frac{7}{5} \implies tan3x = \frac{7}{5}

    can you find x now?
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  3. #3
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    Thankyou Harish, I cans ee what you have done which is most useful.

    It seems so simple once its written down in front of you haha, but I am pretty sure I've learned from this, and if it came up in the exam I could answer a question like this which is the main thing!

    thanks again
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