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Math Help - [prove]

  1. #1
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    [prove]

    Not sure what these are called all I know is I need to prove em, but I dont know how.

    Questions:
    1. Prove: csc^2(θ)+cot^2(θ)-1
    2. Prove: cot^2(w)/csc(w)-1=csc(w)+1
    3. Prove: sec^4(α)-tan^4(α)=2sec^2(α)-1
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  2. #2
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    Re: [prove]

    Quote Originally Posted by KingEddy View Post
    Not sure what these are called all I know is I need to prove em, but I dont know how.

    Questions:
    1. Prove: csc^2(θ)+cot^2(θ)-1
    2. Prove: cot^2(w)/csc(w)-1=csc(w)+1
    3. Prove: sec^4(α)-tan^4(α)=2sec^2(α)-1
    \displaystyle \begin{align*} \sec^4{a} - \tan^4{a} &\equiv \left(\sec^2{a} - \tan^2{a}\right)\left(\sec^2{a} + \tan^2{a}\right) \\ &\equiv 1\left(\sec^2{a} + \tan^2{a}\right) \\ &\equiv \sec^2{a} + \tan^2{a} \\ &\equiv \sec^2{a} + \sec^2{a} - 1 \\ &\equiv 2\sec^2{a} - 1 \end{align*}
    Thanks from KingEddy
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  3. #3
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    Re: [prove]

    Thank you a lot this is helping me a ton
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