document.write( "Question 1108655: The terminal side of an angle θ (theta) in standard position passes through the point (3,-6). Find the values of all six trigonometric function. Rationalize all denominators. \n" ); document.write( "

Algebra.Com's Answer #723670 by KMST(5328) $\"\"$ $\"About$

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If the terminal side of angle $\"theta\"$ , in standard position,
\n" ); document.write( "passes through $\"P%28x%5BP%5D%2Cy%5BP%5D%29\"$
\n" ); document.write( " $\"tan%28theta%29\"$ $\"%22=%22\"$ $\"y%5BP%5D%2Fx%5BP%5D\"$ ; $\"cot%28theta%29\"$ $\"%22=%22\"$ $\"x%5BP%5D%2Fy%5BP%5D\"$ ;
\n" ); document.write( " $\"sin%28theta%29\"$ $\"%22=%22\"$ $\"y%5BP%5D%2Fsqrt%28x%5BP%5D%5E2%2By%5BP%5D%5E2%29\"$ ; $\"cos%28theta%29\"$ $\"%22=%22\"$ $\"x%5BP%5D%2Fsqrt%28x%5BP%5D%5E2%2By%5BP%5D%5E2%29\"$ ;
\n" ); document.write( " $\"sec%28theta%29\"$ $\"%22=%22\"$ $\"%28cos%28theta%29%29%5E%28-1%29\"$ , and $\"csc%28theta%29\"$ $\"%22=%22\"$ $\"%28sin%28theta%29%29%5E%28-1%29\"$ .
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\n" ); document.write( "So, in this case,
\n" ); document.write( " $\"tan%28theta%29\"$ $\"%22=%22\"$ $\"-6%2F3\"$ $\"%22=%22\"$ $\"-2\"$ ; $\"cot%28theta%29\"$ $\"%22=%22\"$ $\"3%2F%28-6%29\"$ $\"%22=%22\"$ $\"-1%2F2\"$ ;
\n" ); document.write( " $\"sin%28theta%29\"$ $\"%22=%22\"$ $\"%28-6%29%2Fsqrt%283%5E2%2B%28-6%29%5E2%29\"$ $\"%22=%22\"$ $\"%28-6%29%2Fsqrt%289%2B36%29+\"$ $\"%22=%22\"$ $\"%28-6%29%2Fsqrt%2845%29\"$ $\"%22=%22\"$ $\"%28-6%29%2F3sqrt%285%29\"$ $\"%22=%22\"$ $\"-2%2Fsqrt%285%29\"$ $\"%22=%22\"$ $\"-2sqrt%285%29%2F5\"$ ;
\n" ); document.write( " $\"cos%28theta%29\"$ $\"%22=%22\"$ $\"3%2Fsqrt%283%5E2%2B%28-6%29%5E2%29\"$ $\"%22=%22\"$ $\"3%2Fsqrt%289%2B36%29+\"$ $\"%22=%22\"$ $\"3%2Fsqrt%2845%29\"$ $\"%22=%22\"$ $\"3%2F3sqrt%285%29\"$ $\"%22=%22\"$ $\"1%2Fsqrt%285%29\"$ $\"%22=%22\"$ $\"sqrt%285%29%2F5\"$ ;
\n" ); document.write( " $\"sec%28theta%29\"$ $\"%22=%22\"$ $\"%281%2Fsqrt%285%29%29%5E%28-1%29\"$ $\"%22=%22\"$ $\"sqrt%285%29\"$ , and
\n" ); document.write( " $\"csc%28theta%29\"$ $\"%22=%22\"$ $\"%28-2%2Fsqrt%285%29%29%5E%28-1%29\"$ $\"%22=%22\"$ $\"-sqrt%285%29%2F2\"$ .
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