document.write( "Question 923299: Is this right? please check exact value of tan(5π/3)sec(-5π/6) and other?\r
\n" ); document.write( "\n" ); document.write( "Find the exact value of: \r
\n" ); document.write( "\n" ); document.write( "tan(5π/3)sec(-5π/6) \r
\n" ); document.write( "\n" ); document.write( "sin(27π/4)cos(1043π) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I think is I must find must the coterminal point then use trig identity to solve. therefore \r
\n" ); document.write( "\n" ); document.write( "5π/3+2π/1 = 11π/3
\n" ); document.write( "tan = x/y but 11π/3 I dont see with my unit circle? so not sure \r
\n" ); document.write( "\n" ); document.write( "sec(-5π/6)
\n" ); document.write( "-5π/6+2π/1 = 7π/6
\n" ); document.write( "sec = 1/x = -2/√(3) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "sin(27π/4) I think for this I must subtract 2π and therefore
\n" ); document.write( "27π/4-2π/1
\n" ); document.write( "27π/4-8π/4
\n" ); document.write( "=3π/4
\n" ); document.write( "sin =y/r
\n" ); document.write( "=(√2/2) \r
\n" ); document.write( "\n" ); document.write( "cos(1043π)
\n" ); document.write( "I know there is some trick with this but I forget it. I think I have to break up? \r
\n" ); document.write( "\n" ); document.write( "Please help
\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #559953 by Alan3354(69443)\"\" \"About 
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Is this right? please check exact value of tan(5π/3)sec(-5π/6) and other?
\n" ); document.write( " Find the exact value of:
\n" ); document.write( " tan(5π/3)sec(-5π/6)
\n" ); document.write( " sin(27π/4)cos(1043π) \r
\n" ); document.write( "\n" ); document.write( "I think is I must find must the coterminal point then use trig identity to solve. therefore
\n" ); document.write( " 5π/3+2π/1 = 11π/3 *********** There's no reason to add 2pi.
\n" ); document.write( "----
\n" ); document.write( "You can just use a calculator. You might change -5pi/6 to 7pi/6, but it's not necessary with a calculator.
\n" ); document.write( "---
\n" ); document.write( " tan = x/y but 11π/3 I dont see with my unit circle? so not sure
\n" ); document.write( "Don't add 2pi. 5pi/3 is on the unit circle (= 300 degs)
\n" ); document.write( " sec(-5π/6)
\n" ); document.write( " -5π/6+2π/1 = 7π/6
\n" ); document.write( " sec = 1/x = -2/√(3) **** sec = 1/cos, not 1/x, but it is -2/sqrt(3)
\n" ); document.write( "---
\n" ); document.write( "====================================\r
\n" ); document.write( "\n" ); document.write( " sin(27π/4) I think for this I must subtract 2π and therefore
\n" ); document.write( " 27π/4-2π/1
\n" ); document.write( " 27π/4-8π/4
\n" ); document.write( " =3π/4 (subtracting 2pi twice --> sin(3pi/4)
\n" ); document.write( " sin =y/r
\n" ); document.write( " =(√2/2)
\n" ); document.write( "===================================
\n" ); document.write( " cos(1043π)
\n" ); document.write( "= cos(521*(2pi) + pi)
\n" ); document.write( "= cos(pi)
\n" ); document.write( "= -1
\n" ); document.write( "
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