document.write( "Question 172027: I have two questions that I am stuck on. Will you please help me.
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document.write( "1. Find the exact value of cot(-pi/6)
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document.write( "2. Find the exact value of: sin 405 degrees
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document.write( "I must show my work and am not sure how to do these.
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document.write( "Please help
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document.write( "Thanks
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Algebra.Com's Answer #127071 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! I have two questions that I am stuck on. Will you please help me. \n" ); document.write( "1. Find the exact value of cot(-pi/6) \n" ); document.write( "--------------------- \n" ); document.write( "The tan and cot are + - + - in quadrants I II II and IV. pi/6 is 30 degs, so -30 degs is in quadrant 4. The cot(-30) is negative, viewed as either cot(330) or -cot(30), either way. \n" ); document.write( "The cot is cos/sin. The sin of 30 degs is 1/2, and the cos in sqrt(3)/2. (Can you use those, or do you need a proof?) \n" ); document.write( "cot(-30) = -(sqrt(3)/2)/(1/2) = -sqrt(3) \n" ); document.write( "-------------------------- \n" ); document.write( "2. Find the exact value of: sin 405 degrees \n" ); document.write( "Trig functions are cyclic with a 360 deg cycle. You can subtract 360 from the angle any number of times, until it's less than 360. In this case, 405-360 = 45 degs \n" ); document.write( "The sin(45) = sqrt(2)/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |