document.write( "Question 628908: let (-3,-5) be a point on the terminal side of θ. find the exact values of cosθ, secθ, and cotθ. \n" ); document.write( "

Algebra.Com's Answer #395898 by jsmallt9(3758) $\"\"$ $\"About$

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We often learn about the Trig functions in terms of opposite, adjacent and hypotenuse. We don't always learn about them in terms of coordinates. Here's a translation guide:
\n" ); document.write( "opposite = y
\n" ); document.write( "adjacent = x
\n" ); document.write( "hypotenuse = $\"sqrt%28x%5E2%2By%5E2%29\"$ (Note: this is always positive!)

\n" ); document.write( "So
\n" ); document.write( " $\"sin%28theta%29+=+opposite%2Fhypotenuse+=+y%2Fsqrt%28x%5E2%2By%5E2%29\"$
\n" ); document.write( " $\"cos%28theta%29+=+adjacent%2Fhypotenuse+=+x%2Fsqrt%28x%5E2%2By%5E2%29\"$
\n" ); document.write( " $\"tan%28theta%29+=+opposite%2Fadjacent+=+y%2Fx\"$
\n" ); document.write( " $\"csc%28theta%29+=+1%2Fsin%28theta%29+=+sqrt%28x%5E2%2By%5E2%29%2Fy\"$
\n" ); document.write( " $\"sec%28theta%29+=+1%2Fcos%28theta%29+=+sqrt%28x%5E2%2By%5E2%29%2Fx\"$
\n" ); document.write( " $\"cot%28theta%29+=+1%2Ftan%28theta%29+=+x%2Fy\"$

\n" ); document.write( "To find the answers to your question, just take your x, -3, and your y, -5, and plug them into the appropriate formulas above. Since cos has a square root in the denominator you will need to rationalize the denominator. \n" ); document.write( "

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