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Trigonometric identities bring new life to the Pythagorean theorem by re-envisioning the legs of a right triangle as sine and cosine. See more

Given \( \sin^2(\theta) + \cos^2(\theta) = 1 \), which of the following is true?

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True or False: \( \sin^2(\theta) - \cos^2(\theta) + 1 = 2\sin^2(\theta) \).

(Hint: Use the identity \( \sin^2(\theta) + \cos^2(\theta) = 1 \).)

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Which of these is equivalent to \( x \)?

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If \( \sin^2(\theta) = \frac{9}{25} \), what is \( \cos^2(\theta) ?\)

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