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

Question 98

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Find the exact values of the six trigonometric functions of the angle θ\theta for each of the two triangles.  Find the exact values of the six trigonometric functions of the angle  \theta  for each of the two triangles.       A) sin  \theta  =  \frac { 15 } { 8 }  csc  \theta  =  \frac { 8 } { 17 }  cos  \theta  =  \frac { 17 } { 15 }  sec  \theta  =  \frac { 8 } { 15 }  tan  \theta  =  \frac { 17 } { 8 }  cot  \theta =  \frac { 15 } { 17 }    B) sin  \theta  =  \frac { 17 } { 15 }  csc  \theta  =  \frac { 17 } { 8 }  cos \theta  =  \frac { 15 } { 8 }  sec  \theta  =  \frac { 8 } { 17 }  tan  \theta  =  \frac { 8 } { 15 }  cot  \theta  =  \frac { 15 } { 17 }    C) sin  \theta  =  \frac { 8 } { 17 }  csc  \theta  =  \frac { 17 } { 8 }  cos  \theta  =  \frac { 15 } { 17 }  sec  \theta  =  \frac { 17 } { 15 }  tan \theta =  \frac { 8 } { 15 }  cot  \theta  =  \frac { 15 } { 8 }    D) sin  \theta =  \frac { 15 } { 8 }  csc  \theta  =  \frac { 8 } { 15 }  cos  \theta =  \frac { 17 } { 15 }  sec  \theta =  \frac { 15 } { 17 }  tan  \theta  =  \frac { 17 } { 8 }  cot  \theta  =  \frac { 8 } { 17 }    E) sin  \theta  =  \frac { 15 } { 17 }  csc \theta  =  \frac { 8 } { 15 }  cos  \theta  =  \frac { 8 } { 17 }  sec  \theta =  \frac { 15 } { 8 }  tan  \theta  =  \frac { 17 } { 8 }  cot  \theta  =  \frac { 17 } { 15 }     Find the exact values of the six trigonometric functions of the angle  \theta  for each of the two triangles.       A) sin  \theta  =  \frac { 15 } { 8 }  csc  \theta  =  \frac { 8 } { 17 }  cos  \theta  =  \frac { 17 } { 15 }  sec  \theta  =  \frac { 8 } { 15 }  tan  \theta  =  \frac { 17 } { 8 }  cot  \theta =  \frac { 15 } { 17 }    B) sin  \theta  =  \frac { 17 } { 15 }  csc  \theta  =  \frac { 17 } { 8 }  cos \theta  =  \frac { 15 } { 8 }  sec  \theta  =  \frac { 8 } { 17 }  tan  \theta  =  \frac { 8 } { 15 }  cot  \theta  =  \frac { 15 } { 17 }    C) sin  \theta  =  \frac { 8 } { 17 }  csc  \theta  =  \frac { 17 } { 8 }  cos  \theta  =  \frac { 15 } { 17 }  sec  \theta  =  \frac { 17 } { 15 }  tan \theta =  \frac { 8 } { 15 }  cot  \theta  =  \frac { 15 } { 8 }    D) sin  \theta =  \frac { 15 } { 8 }  csc  \theta  =  \frac { 8 } { 15 }  cos  \theta =  \frac { 17 } { 15 }  sec  \theta =  \frac { 15 } { 17 }  tan  \theta  =  \frac { 17 } { 8 }  cot  \theta  =  \frac { 8 } { 17 }    E) sin  \theta  =  \frac { 15 } { 17 }  csc \theta  =  \frac { 8 } { 15 }  cos  \theta  =  \frac { 8 } { 17 }  sec  \theta =  \frac { 15 } { 8 }  tan  \theta  =  \frac { 17 } { 8 }  cot  \theta  =  \frac { 17 } { 15 }


A) sin θ\theta = 158\frac { 15 } { 8 } csc θ\theta = 817\frac { 8 } { 17 } cos θ\theta = 1715\frac { 17 } { 15 } sec θ\theta = 815\frac { 8 } { 15 } tan θ\theta = 178\frac { 17 } { 8 } cot θ\theta = 1517\frac { 15 } { 17 }
B) sin θ\theta = 1715\frac { 17 } { 15 } csc θ\theta = 178\frac { 17 } { 8 } cos θ\theta = 158\frac { 15 } { 8 } sec θ\theta = 817\frac { 8 } { 17 } tan θ\theta = 815\frac { 8 } { 15 } cot θ\theta = 1517\frac { 15 } { 17 }
C) sin θ\theta = 817\frac { 8 } { 17 } csc θ\theta = 178\frac { 17 } { 8 } cos θ\theta = 1517\frac { 15 } { 17 } sec θ\theta = 1715\frac { 17 } { 15 } tan θ\theta = 815\frac { 8 } { 15 } cot θ\theta = 158\frac { 15 } { 8 }
D) sin θ\theta = 158\frac { 15 } { 8 } csc θ\theta = 815\frac { 8 } { 15 } cos θ\theta = 1715\frac { 17 } { 15 } sec θ\theta = 1517\frac { 15 } { 17 } tan θ\theta = 178\frac { 17 } { 8 } cot θ\theta = 817\frac { 8 } { 17 }
E) sin θ\theta = 1517\frac { 15 } { 17 } csc θ\theta = 815\frac { 8 } { 15 } cos θ\theta = 817\frac { 8 } { 17 } sec θ\theta = 158\frac { 15 } { 8 } tan θ\theta = 178\frac { 17 } { 8 } cot θ\theta = 1715\frac { 17 } { 15 }

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