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Let P(x,y)P ( x , y ) Denote the Point Where the Terminal Side of Angle

Question 5

Multiple Choice

Let P(x,y) P ( x , y ) denote the point where the terminal side of angle θ\theta (in standard position) meets the unit circle. Use the information to evaluate the six trigonometric functions of θ\theta . PP is in Quadrant IV and y=−34y = - \frac { 3 } { 4 } .


A) sin⁡θ=−74\sin \theta = - \frac { \sqrt { 7 } } { 4 } , cos⁡θ=34\cos \theta = \frac { 3 } { 4 } , tan⁡θ=−73\tan \theta = - \frac { \sqrt { 7 } } { 3 } , sec⁡θ=43\sec \theta = \frac { 4 } { 3 } , csc⁡θ=477\csc \theta = \frac { 4 \sqrt { 7 } } { 7 } , cot⁡θ=377\cot \theta = \frac { 3 \sqrt { 7 } } { 7 }
B) sin⁡θ=−74\sin \theta = - \frac { \sqrt { 7 } } { 4 } , cos⁡θ=34\cos \theta = \frac { 3 } { 4 } , tan⁡θ=73\tan \theta = \frac { \sqrt { 7 } } { 3 } , sec⁡θ=43\sec \theta = \frac { 4 } { 3 } , csc⁡θ=−477\csc \theta = - \frac { 4 \sqrt { 7 } } { 7 } , cot⁡θ=377\cot \theta = \frac { 3 \sqrt { 7 } } { 7 }
C) sin⁡θ=−34\sin \theta = - \frac { 3 } { 4 } , cos⁡θ=74\cos \theta = \frac { \sqrt { 7 } } { 4 } , tan⁡θ=−377\tan \theta = - \frac { 3 \sqrt { 7 } } { 7 } , sec⁡θ=477\sec \theta = \frac { 4 \sqrt { 7 } } { 7 } , csc⁡θ=−43\csc \theta = - \frac { 4 } { 3 } , cot⁡θ=−73\cot \theta = - \frac { \sqrt { 7 } } { 3 }
D) sin⁡θ=74cos⁡θ=−34tan⁡θ=−73\sin \theta = \frac { \sqrt { 7 } } { 4 } \quad \cos \theta = - \frac { 3 } { 4 } \quad \tan \theta = - \frac { \sqrt { 7 } } { 3 } sec⁡θ=43\sec \theta = \frac { 4 } { 3 } , csc⁡θ=77\csc \theta = \frac { \sqrt { 7 } } { 7 } , cot⁡θ=−77\cot \theta = - \frac { \sqrt { 7 } } { 7 }
E) sin⁡θ=34\sin \theta = \frac { 3 } { 4 } , cos⁡θ=−74\cos \theta = - \frac { \sqrt { 7 } } { 4 } , tan⁡θ=377\tan \theta = \frac { 3 \sqrt { 7 } } { 7 } , sec⁡θ=−477\sec \theta = - \frac { 4 \sqrt { 7 } } { 7 } , csc⁡θ=43\csc \theta = \frac { 4 } { 3 } , cot⁡θ=73\cot \theta = \frac { \sqrt { 7 } } { 3 }

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