Trigonometric Identities and Applications

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What is a trigonometric identity?
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A trigonometric identity is an equation involving trigonometric functions that is true for all angles within a certain range.
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Provide an example of a trigonometric identity.
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One example is sin²θ + cos²θ = 1.
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What is the angle sum identity for sine?
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The angle sum identity for sine is sin(A + B) = sinA cosB + cosA sinB.
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What real-world applications does trigonometry have?
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Trigonometry is used in fields like physics, engineering, astronomy, and navigation.
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How does the cosine function relate to the unit circle?
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On the unit circle, the cosine of an angle is the x-coordinate of the point where the terminal side intersects the circle.
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What is the co-function identity for sine and cosine?
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The co-function identity is sin(90° - θ) = cosθ and cos(90° - θ) = sinθ.
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