Find the Exact Values of the Six Trigonometric Functions of the Angle

question 11

Multiple Choice

Find the exact values of the six trigonometric functions of the angle, whenever possible. $\theta = 180 ^ { \circ }$

• A) \(\begin{array} { l }
• \sin \theta = \frac { \sqrt { 2 } } { 2 } , \csc \theta = \sqrt { 2 } , \tan \theta = - 1 \\
• \cos \theta = - \frac { \sqrt { 2 } } { 2 } , \sec \theta = - \sqrt { 2 } , \cot \theta = 1
• \end{array}\)
• B) \(\sin \theta = 0 , \csc \theta = - 1 , \tan \theta =\) undefined
• \[\cos \theta = - 1 , \sec \theta = \text { undefined, } \cot \theta = 0\]
• C) \[\begin{array} { l }
• \sin \theta = - \frac { \sqrt { 2 } } { 2 } , \csc \theta = - \sqrt { 2 } , \tan \theta = - 1 \\
• \cos \theta = - \frac { \sqrt { 2 } } { 2 } , \sec \theta = - \sqrt { 2 } , \cot \theta = - 1
• \end{array}\]
• D) \[\begin{array} { l }
• \sin \theta = \frac { \sqrt { 2 } } { 2 } , \csc \theta = \sqrt { 2 } , \tan \theta = 1 \\
• \cos \theta = \frac { \sqrt { 2 } } { 2 } , \sec \theta = \sqrt { 2 } , \cot \theta = 1
• \end{array}\]
• E) \(\sin \theta = 0 , \csc \theta =\) undefined, \(\tan \theta = 0\)
• \(\cos \theta = - 1 , \sec \theta = - 1 , \cot \theta =\) undefined

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