document.write( "Question 920395: what is cosθ= 1/root2 on the interval 0≤θ≤2π \n" ); document.write( "
Algebra.Com's Answer #558347 by Theo(13342)![]() ![]() You can put this solution on YOUR website! cosine(theta) = 1/sqrt(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can use your calculator to see that theta = 45 degree, or you can recognize that 1/sqrt(2) is the same as sqrt(2)/2 after it is simplified and that sqrt(2)/2 is the sine and the cosine of 45 degree angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the cosine of the angle is positive in the first and fourth quadrant.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you already have the angle in the first quadrant.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that angle is 45 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equivalent angle in the fourth quadrant is equal to 360 - 45 = 315 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so your angles are 45 degrees and 315 degrees in the interval between 0 degrees and 360 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "translate all these to radians by using the conversion formula of radians = degrees * pi / 180 and you will get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your angles are 1/4 * pi and 7/4 * pi in the interval between 0 radians and 2 * pi radians.\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( " |