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Use the Given Values to Evaluate (If Possible) Three Trigonometric cosϕ,sinϕ,tanϕ\cos \phi , \sin \phi , \tan \phi

Question 141

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions cosϕ,sinϕ,tanϕ\cos \phi , \sin \phi , \tan \phi .
secϕ=34,cscϕ=355\sec \phi = \frac { 3 } { 4 } , \csc \phi = \frac { - 3 \sqrt { 5 } } { 5 }


A) cosϕ=43sinϕ=53tanϕ=54\begin{array} { l } \cos \phi = \frac { 4 } { 3 } \\\sin \phi = - \frac { \sqrt { 5 } } { 3 } \\\tan \phi = \frac { \sqrt { 5 } } { 4 }\end{array}
B) cosϕ=43sinϕ=53tanϕ=54\begin{array} { l } \cos \phi = \frac { 4 } { 3 } \\\sin \phi = \frac { \sqrt { 5 } } { 3 } \\\tan \phi = - \frac { \sqrt { 5 } } { 4 }\end{array}
C) cosϕ=43sinϕ=53tanϕ=54\begin{array} { l } \cos \phi = \frac { 4 } { 3 } \\\sin \phi = - \frac { \sqrt { 5 } } { 3 } \\\tan \phi = - \frac { \sqrt { 5 } } { 4 }\end{array}
D) cosϕ=43sinϕ=53tanϕ=54\begin{array} { l } \cos \phi = \frac { 4 } { 3 } \\\sin \phi = \frac { \sqrt { 5 } } { 3 } \\\tan \phi = \frac { \sqrt { 5 } } { 4 }\end{array}
E) cosϕ=43sinϕ=53tanϕ=54\begin{array} { l } \cos \phi = - \frac { 4 } { 3 } \\\sin \phi = - \frac { \sqrt { 5 } } { 3 } \\\tan \phi = - \frac { \sqrt { 5 } } { 4 }\end{array}

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