Find the Exact Values of the Three Trigonometric Functions Sine $a = \frac { 5 } { 13 } , b = \frac { 12 } { 13 }$

question 68

Multiple Choice

Find the exact values of the three trigonometric functions sine, cosine, tangent of the real number t. $a = \frac { 5 } { 13 } , b = \frac { 12 } { 13 }$

• A) \(\begin{array} { l } \sin t = - \frac { 12 } { 13 } \\ \cos t = \frac { 5 } { 13 } \\ \tan t = \frac { 12 } { 5 } \end{array}\)
• B) \(\begin{array} { l } \sin t = \frac { 13 } { 5 } \\ \cos t = \frac { 13 } { 12 } \\ \tan t = \frac { 5 } { 12 } \end{array}\)
• C) \(\begin{array} { l } \sin t = \frac { 12 } { 13 } \\ \cos t = \frac { 12 } { 5 } \\ \tan t = \frac { 5 } { 13 } \end{array}\)
• D) \(\begin{array} { l } \sin t = \frac { 12 } { 5 } \\ \cos t = \frac { 5 } { 13 } \\ \tan t = \frac { 12 } { 13 } \end{array}\)
• E) \(\begin{array} { l } \sin t = - \frac { 12 } { 13 } \\ \cos t = \frac { 5 } { 13 } \\ \tan t = - \frac { 12 } { 5 } \end{array}\)

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