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Math Help - Trig Identities - solve the following for 0 <_ θ <_ 4pi

  1. #1
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    Question Trig Identities - solve the following for 0 <_ θ <_ 4pi

    solve the following for 0 <_ θ <_ 4pi

    The <_ represents less than or equal to.

    Sin[θ]^2 == -Cos[θ]

    Would like a step by step process for approaching this question. Thanks.
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  2. #2
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    Quote Originally Posted by dcpc10 View Post
    solve the following for 0 <_ θ <_ 4pi
    Sin[θ]^2 == -Cos[θ]

    If the question is to solve \sin^2(\theta)=-\cos(\theta) then that is equivalent to solving \cos^2(\theta)-\cos(\theta)-1=0.

    Or u^2-u-1=0 where u=\cos(\theta).

    If that is not what it means, then please correct it.
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    Yes that is what it means.
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    So you can solve it now?
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    No because I would appreciate a step by step process to solve it. That was the reasoning for making the thread in the first place. This is for gr 12 advanced functions.
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    Quote Originally Posted by dcpc10 View Post
    No because I would appreciate a step by step process to solve it. That was the reasoning for making the thread in the first place. This is for gr 12 advanced functions.

    Show us your solution to u^2-u-1=0.
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    Please help me with that.
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    Quote Originally Posted by dcpc10 View Post
    Please help me with that.
    Go and learn to do middle school algebra.
    We are not a tutorial service.
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    Very unhelpful, you fail to communicate what requires solving and instead would rather confuse those seeking assistance. This is not a tutoring service obviously but its suppose to be a "math help" forum so it totally defeats the purpose if you are unwilling to help solve the problem at hand. Why would you ask me to solve a question totally unrelated if I do not know how it connects to the end answer? That is not going to help anyone. Geez very disappointing..
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  10. #10
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    Re: Trig Identities - solve the following for 0 <_ θ <_ 4pi

    Do you know how to solve cos(θ) = k?
    Do you know the identity sin^2(θ) + cos^2(θ) == 1?
    Can you solve quadratic equations?

    These are prerequisites to solving this equation.
    Last edited by kinhew93; December 28th 2012 at 10:46 AM.
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