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Spectrum

  • 3 years ago

tan^2 x = 1-cos2x/ 1+ cos2x true or false?

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  1. zordoloom
    • 3 years ago
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    That would be true. It' an identity.

  2. checkoutmymath
    • 3 years ago
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    It's not an identity. Does tan^2x = 1-(cos2x/1)? I'm certain it doesn't. It does, however, equal to (1-cos2x)/2. This is an example of a half-angle identity.

  3. Spectrum
    • 3 years ago
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    er....er

  4. Jnlucero
    • 3 years ago
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    \[\frac{ 1-\cos 2x }{ 1+\cos 2x }=\frac{ 1-(1-2\sin^2x) }{ 1+(2\cos^2x-1) }=\frac{ 2\sin^2x }{2\cos^2x }=\tan^2x\]

  5. Jnlucero
    • 3 years ago
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    so its true.

  6. Spectrum
    • 3 years ago
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    um 0.0 :/

  7. Jnlucero
    • 3 years ago
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    something wrong?

  8. Spectrum
    • 3 years ago
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    you guys are confusting me 0.o true or no?

  9. Jnlucero
    • 3 years ago
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    the first i did was to use the double angle formula for sine and cosine. then it was simplified, then since the ratio of sine and cosine is tangent, then the next step is obvious.

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