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Use the Definitions to Evaluate the Six Trigonometric Functions Of \theta

Question 5

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Use the definitions to evaluate the six trigonometric functions of θ\theta . In cases in which a radical occurs in a denominator, rationalize the denominator.  Use the definitions to evaluate the six trigonometric functions of  \theta  . In cases in which a radical occurs in a denominator, rationalize the denominator.   A)   \sin \theta = \frac { \sqrt { 5 } } { 2 } , \tan \theta = \frac { 5 \sqrt { 5 } } { 2 } , \csc \theta = 5   \cos \theta = \sqrt { 5 } , \cot \theta = \frac { \sqrt { 5 } } { 2 } , \sec \theta = \frac { 1 } { 5 }  B)   \sin \theta = \frac { \sqrt { 11 } } { 5 } , \tan \theta = \frac { 2 \sqrt { 11 } } { 7 } , \csc \theta = 2   \cos \theta = \sqrt { 11 } , \cot \theta = \frac { \sqrt { 11 } } { 2 } , \sec \theta = \frac { 1 } { 7 }  C)   \sin \theta = \frac { 4 \sqrt { 5 } } { 5 } , \tan \theta = 4 , \csc \theta = \frac { \sqrt { 5 } } { 4 }   \cos \theta = \frac { \sqrt { 5 } } { 2 } , \cot \theta = \frac { 1 } { 4 } , \sec \theta = \sqrt { 5 }  D)   \sin \theta = \frac { \sqrt { 5 } } { 5 } , \tan \theta = \frac { 1 } { 2 } , \csc \theta = \sqrt { 5 }   \cos \theta = \frac { 2 \sqrt { 5 } } { 5 } , \cot \theta = 2 , \sec \theta = \frac { \sqrt { 5 } } { 2 }  E)   \sin \theta = \frac { \sqrt { 7 } } { 5 } , \tan \theta = \frac { 2 \sqrt { 7 } } { 5 } , \csc \theta = 2   \cos \theta = \sqrt { 7 } , \cot \theta = \frac { \sqrt { 7 } } { 2 } , \sec \theta = \frac { 1 } { 2 }


A) sin⁡θ=52,tan⁡θ=552,csc⁡θ=5\sin \theta = \frac { \sqrt { 5 } } { 2 } , \tan \theta = \frac { 5 \sqrt { 5 } } { 2 } , \csc \theta = 5 cos⁡θ=5,cot⁡θ=52,sec⁡θ=15\cos \theta = \sqrt { 5 } , \cot \theta = \frac { \sqrt { 5 } } { 2 } , \sec \theta = \frac { 1 } { 5 }
B) sin⁡θ=115,tan⁡θ=2117,csc⁡θ=2\sin \theta = \frac { \sqrt { 11 } } { 5 } , \tan \theta = \frac { 2 \sqrt { 11 } } { 7 } , \csc \theta = 2 cos⁡θ=11,cot⁡θ=112,sec⁡θ=17\cos \theta = \sqrt { 11 } , \cot \theta = \frac { \sqrt { 11 } } { 2 } , \sec \theta = \frac { 1 } { 7 }
C) sin⁡θ=455,tan⁡θ=4,csc⁡θ=54\sin \theta = \frac { 4 \sqrt { 5 } } { 5 } , \tan \theta = 4 , \csc \theta = \frac { \sqrt { 5 } } { 4 } cos⁡θ=52,cot⁡θ=14,sec⁡θ=5\cos \theta = \frac { \sqrt { 5 } } { 2 } , \cot \theta = \frac { 1 } { 4 } , \sec \theta = \sqrt { 5 }
D) sin⁡θ=55,tan⁡θ=12,csc⁡θ=5\sin \theta = \frac { \sqrt { 5 } } { 5 } , \tan \theta = \frac { 1 } { 2 } , \csc \theta = \sqrt { 5 } cos⁡θ=255,cot⁡θ=2,sec⁡θ=52\cos \theta = \frac { 2 \sqrt { 5 } } { 5 } , \cot \theta = 2 , \sec \theta = \frac { \sqrt { 5 } } { 2 }
E) sin⁡θ=75,tan⁡θ=275,csc⁡θ=2\sin \theta = \frac { \sqrt { 7 } } { 5 } , \tan \theta = \frac { 2 \sqrt { 7 } } { 5 } , \csc \theta = 2 cos⁡θ=7,cot⁡θ=72,sec⁡θ=12\cos \theta = \sqrt { 7 } , \cot \theta = \frac { \sqrt { 7 } } { 2 } , \sec \theta = \frac { 1 } { 2 }

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