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dakid91

  • 3 years ago

Use the double angle formula to rewrite the equation y = 4sin^2 (slashed zero) - 2.

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  1. tdabboud
    • 3 years ago
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    is the slashed zero theta?

  2. dakid91
    • 3 years ago
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    Yes.

  3. tdabboud
    • 3 years ago
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    it reduces to \[y = -2 \cos(2\theta)\]

  4. dakid91
    • 3 years ago
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    Can you show me how it works?

  5. tdabboud
    • 3 years ago
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    You need to simply use that cos(2A) = 1- 2 sin^2(A)

  6. tdabboud
    • 3 years ago
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    so from this we take theta to be A

  7. tdabboud
    • 3 years ago
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    if you rewrite the equation you gave in that form it becomes.. -2 + 4sin^2(A)

  8. tdabboud
    • 3 years ago
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    from here we can factor out a -2 which leaves us with -2(1-2sin^2(A)) and you can see that the values under the parenthesis is just cos(2A) from the identity. So the answer you end up with after plugging in theta for A, is just -2cos(2Theta)

  9. tdabboud
    • 3 years ago
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    do you understand?

  10. dakid91
    • 3 years ago
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    Yes. Thank you for giving a detailed explanation.

  11. tdabboud
    • 3 years ago
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    yeah no problem, glad i could help

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