Exam 6: Analytic Trigonometry

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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.

(Short Answer)
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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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Solve the trigonometric equation on 0° \le x \le 360°. Give answers in degrees and round to two decimal places.  Solve the trigonometric equation on 0°<sup> </sup> \le  x  \le  360°. Give answers in degrees and round to two decimal places.

(Multiple Choice)
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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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Solve the trigonometric equation on 0° \le x \le 360°. Give answers in degrees and round to two decimal places.  Solve the trigonometric equation on 0°<sup> </sup> \le  x  \le  360°. Give answers in degrees and round to two decimal places.

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Write cos (9x) cos (4x) - sin (9x) sin (4x) as a single trigonometric function.

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Verify the trigonometric identity Verify the trigonometric identity

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

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Area of a Triangle. A formula for finding the area of a triangle when given the measures of the angles and one side is area = Area of a Triangle. A formula for finding the area of a triangle when given the measures of the angles and one side is area =      where a is the length of the side opposite angle A. If the measures of angles B and C are 60° and 75° , respectively, and if a = 19 feet, use the appropriate product-to-sum identity to change the formula so that you can solve for the area of a triangle exactly. Give the exact answer. .   where a is the length of the side opposite angle A. If the measures of angles B and C are 60° and 75° , respectively, and if a = 19 feet, use the appropriate product-to-sum identity to change the formula so that you can solve for the area of a triangle exactly. Give the exact answer. . Area of a Triangle. A formula for finding the area of a triangle when given the measures of the angles and one side is area =      where a is the length of the side opposite angle A. If the measures of angles B and C are 60° and 75° , respectively, and if a = 19 feet, use the appropriate product-to-sum identity to change the formula so that you can solve for the area of a triangle exactly. Give the exact answer. .

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Evaluate Evaluate      exactly if possible. exactly if possible.

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

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

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

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Write cos (10x) cos (2x) + sin (10x) sin (2x) as a single trigonometric function.

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A museum patron whose eye level is 4 feet above the floor is studying a painting that is 8 feet in height and mounted on the wall 4 feet above the floor. If the patron is x feet from the wall, θ\theta is the angle that the patron's eye sweeps from the top to the bottom of the painting. Find the measure of the angle θ\theta for x = 20. Round to the nearest degree).

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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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Simplify the trigonometric expression Simplify the trigonometric expression

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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 Write   As a product of sines and/or cosines. As a product of sines and/or cosines.

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Use fundamental identities to simplify Use fundamental identities to simplify

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