Exam 5: Trigonometric Functions

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Determine the quadrant in which an angle, θ\theta , lies if  Determine the quadrant in which an angle,  \theta  , lies if   radians. radians.

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Use a calculator to evaluate Use a calculator to evaluate   . Round your answer to four decimal places. . Round your answer to four decimal places.

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Determine the quadrant in which a Determine the quadrant in which a   °   angle lies. ° Determine the quadrant in which a   °   angle lies. angle lies.

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Rewrite  Rewrite   in radian measure as a multiple of   \pi . in radian measure as a multiple of π\pi .

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Determine the quadrant in which a 130° angle lies.

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Use an inverse function to write θ\theta as a function of x.  Use an inverse function to write  \theta  as a function of x.

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If If   and   , determine the value of   . Round to two decimal places.  and If   and   , determine the value of   . Round to two decimal places.  , determine the value of If   and   , determine the value of   . Round to two decimal places.  . Round to two decimal places. If   and   , determine the value of   . Round to two decimal places.

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Given the figure below, determine the value of Given the figure below, determine the value of   .  . Given the figure below, determine the value of   .

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Find (if possible) the complement of Find (if possible) the complement of   . .

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Convert Convert   to degree-decimal form. Round answer to three decimal places. to degree-decimal form. Round answer to three decimal places.

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Determine the quadrant in which a Determine the quadrant in which a   °   angle lies. ° Determine the quadrant in which a   °   angle lies. angle lies.

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Determine the quadrant in which a Determine the quadrant in which a   °   angle lies. ° Determine the quadrant in which a   °   angle lies. angle lies.

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Evaluate Evaluate   without using a calculator. without using a calculator.

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Determine two coterminal angles (one positive and one negative) for Determine two coterminal angles (one positive and one negative) for   . .

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Given Given   and   , determine the following.  and Given   and   , determine the following.  , determine the following. Given   and   , determine the following.

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Convert Convert   to degree-decimal form. Round answer to three decimal places. to degree-decimal form. Round answer to three decimal places.

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Find the exact value of Find the exact value of   , using the triangle shown in the figure below, if   .  , using the triangle shown in the figure below, if Find the exact value of   , using the triangle shown in the figure below, if   .  . Find the exact value of   , using the triangle shown in the figure below, if   .

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Given the figure below, determine the value of Given the figure below, determine the value of   .  . Given the figure below, determine the value of   .

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Use an inverse function to write θ\theta as a function of x.  Use an inverse function to write  \theta  as a function of x.

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Determine the quadrant in which a 130° angle lies.

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