document.write( "Question 1133134: Draw the following angle in standard position.
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document.write( "225°\r
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document.write( "a) Name a point on the terminal side of the angle.
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document.write( "(0, −1)
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document.write( "(1, −1)
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document.write( "(1, 1)
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document.write( "(−1, −1)
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document.write( "(−1, 1)\r
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document.write( "(b) Find the distance d from the origin to that point.
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document.write( "d = \r
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document.write( "(c) Name another angle that is coterminal with the angle you have drawn.
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Algebra.Com's Answer #750313 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the position on the graph of 225 degrees is a line from the origin to the point (-1,-1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would be equal to 180 + 45 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the reference angle is 45 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "every time you add 360 degrees to 225, the angle will be in the same position on the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "every time you subtract 360 degrees from 225, the angle will be in the same position on the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "angles greater than 225 can be any angle that is k * 360 degrees more than 225.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "angles less than 225 can be any angle that is k * 360 degrees less than 225.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k can be any positive integer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "all those angles will have the same value for their trigonometric functions as the angle at 225 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "one other angle that is co-terminal with 225 would be 225 + 360 = 585.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "another angle that is co-terminal with 225 would be 225 - 360 = -135.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "all of the value of the trig functions for these angles will be identical to the value of the trig functions for 225.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sine of (225) = sine of (-135) = sine of (585) = -.7071067812\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cosine of (225) = sine of (-135) = cosine of (585) = -.7071067812.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tangent of (225) = sine of (-135) = cosine of (585) = 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since 45 degrees is the reference angle, it will have the same value for its trigonometric functions, only they will be all positive.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sine and cosine of (45) = .7071067812.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tangent of (45) = 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is what the angle of 225 degrees looks like on the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |