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[tex]sin^4 \alpha - cos^4 \alpha = 0[/tex]
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Trigonometry: calculate sin^4 \alpha - cos^4 \alpha = 0
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Re: Trigonometry: calculate sin^4 \alpha - cos^4 \alpha = 0
by Guest » Wed Sep 28, 2011 8:34 am
[tex]sin^4\alpha - cos^4\alpha = 0[/tex]
[tex](sin^2\alpha - cos^2\alpha)(sin^2\alpha + cos^2\alpha) = 0[/tex]
From the basic trigonometric identity:
[tex]sin^2\alpha + cos^2\alpha = 1[/tex]
[tex]sin\alpha = \pm cos\alpha[/tex]
[tex](sin^2\alpha - cos^2\alpha)(sin^2\alpha + cos^2\alpha) = 0[/tex]
From the basic trigonometric identity:
[tex]sin^2\alpha + cos^2\alpha = 1[/tex]
[tex]sin\alpha = \pm cos\alpha[/tex]
- Guest
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