document.write( "Question 587142: The figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of θ. Find Tan θ. the given x,y points are (-5/13, 12/13) \n" ); document.write( "

Algebra.Com's Answer #374034 by KMST(5328) $\"\"$ $\"About$

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If the coordinates of the point where the terminal side intersects the unit circle are ( $\"-5%2F13\"$ , $\"12%2F13\"$ ), the tangent can be found as
\n" ); document.write( " $\"tan%28theta%29=%2812%2F13%29%2F%28%28-5%2F13%29%29=-12%2F5=-2.4\"$
\n" ); document.write( "The measure of that angle, by the way, is approximately $\"112.7%5Eo\"$ .
\n" ); document.write( "If the terminal side were the reflection on the y-axis, you would have the reference angle, measuring
\n" ); document.write( " $\"67.4%5Eo=180%5Eo-112.7%5Eo\"$ .
\n" ); document.write( "Then you would see $\"tan%28theta%29\"$ as a ratio of sides in a right triangle
\n" ); document.write( " $\"tan%28theta%29=opposite_side%2Fadjacent_side%29\"$ \n" ); document.write( "

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