Exam 6: Analytic Trigonometry

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Determine Determine   is conditional or an identity. is conditional or an identity.

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Determine if Determine if      is conditional or is an identity. is conditional or is an identity.

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Write cos (5x) cos (2x) - sin (5x) sin (2x) as a single trigonometric function.

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Solve the given trigonometric equation on 0° ≤ θ ≤ 360° and express answer in degrees to two decimal places. Solve the given trigonometric equation on 0° ≤ θ ≤ 360° and express answer in degrees to two decimal places.

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Evaluate the expression exactly if possible. If not possible, state why. Evaluate the expression exactly if possible. If not possible, state why.

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Verify the identity Verify the identity

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Verify the trigonometric identity Verify the trigonometric identity      algebraically. algebraically.

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Find the exact value of Find the exact value of     if the terminal side of     lies in III and the terminal side of     lies in IV. if the terminal side of Find the exact value of     if the terminal side of     lies in III and the terminal side of     lies in IV. lies in III and the terminal side of Find the exact value of     if the terminal side of     lies in III and the terminal side of     lies in IV. lies in IV.

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Solve the given trigonometric equation exactly over the interval, 0 \le θ\theta \le 2 π\pi .  Solve the given trigonometric equation exactly over the interval, 0  \le   \theta   \le  2  \pi .

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Find the exact value of Find the exact value of   if the terminal side of     lies in III and the terminal side of     lies in II. if the terminal side of Find the exact value of   if the terminal side of     lies in III and the terminal side of     lies in II. lies in III and the terminal side of Find the exact value of   if the terminal side of     lies in III and the terminal side of     lies in II. lies in II.

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Use fundamental identities to simplify Use fundamental identities to simplify

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Use a calculator to evaluate the expression. Give answer in degrees and round to two decimal places. Use a calculator to evaluate the expression. Give answer in degrees and round to two decimal places.

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Solve the given trigonometric equation exactly over the interval, 0 ≤ θ ≤ 2π. Solve the given trigonometric equation exactly over the interval, 0 ≤ θ ≤ 2π.

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Use a calculator to evaluate the expression. Give answer in degrees and round to two decimal places. Use a calculator to evaluate the expression. Give answer in degrees and round to two decimal places.

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Use the cofunction identity to fill in the blank: sec H° = csc____°.

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Solve the given trigonometric equation on 0° ≤ θ ≤ 360°, and express answer in degrees to two decimal places. Solve the given trigonometric equation on 0° ≤ θ ≤ 360°, and express answer in degrees to two decimal places.

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Solve the given trigonometric equation on 0° ≤ θ ≤ 360°, and express answer in degrees to two decimal places. Solve the given trigonometric equation on 0° ≤ θ ≤ 360°, and express answer in degrees to two decimal places.

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Solve the given trigonometric equation exactly over the interval, 0 ≤ θ ≤ 2π. Solve the given trigonometric equation exactly over the interval, 0 ≤ θ ≤ 2π.

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Write csc(86° - B) in terms of its cofunction.

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Graph y = Graph y =

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