document.write( "Question 482144: how would i show that sin (-θ) = -sin θ \n" ); document.write( "

Algebra.Com's Answer #330110 by lwsshak3(11628) $\"\"$ $\"About$

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how would i show that sin (-θ) = -sin θ
\n" ); document.write( "using x in place of theta
\n" ); document.write( "..
\n" ); document.write( "Explaining it graphically:
\n" ); document.write( "By convention, positive angle are rotated counter-clockwise, and negative angles, clockwise.
\n" ); document.write( "The sin of an angle in quadrants I and II are always positive and in quadrants III and IV always negative.
\n" ); document.write( "For example, if the angle is positive and less than 180º sin x will be positive in quadrants I and II, but if the angle is negative, you will reverse direction and end up in quadrants II or IV where sin x will be negative. No matter what the angle, sin (-x)=-sin x. Try it with any angle. Hope this helps. \n" ); document.write( "

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