document.write( "Question 868622: find the exact values of six trigonometric functions at a, given that csc((pi/2)-a)=3 in quadrant I? \n" ); document.write( "
Algebra.Com's Answer #523711 by lwsshak3(11628)\"\" \"About 
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find the exact values of six trigonometric functions at a, given that csc((pi/2)-a)=3 in quadrant I?
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\n" ); document.write( "Identity: sin((π/2)-a)=cos a
\n" ); document.write( "csc((pi/2)-a)=1/sin((pi/2)-a)=1/cos a=3
\n" ); document.write( "cos a=1/3
\n" ); document.write( "adjacent side of reference right triangle in quadrant I=√(3^2-1^2)=√(9-1)=√8
\n" ); document.write( "sin a=√8/3
\n" ); document.write( "sec a=3
\n" ); document.write( "csc a=3/√8=3√8/8
\n" ); document.write( "tan a=√8
\n" ); document.write( "cot a=1/√8=√8/8
\n" ); document.write( "..
\n" ); document.write( "Calculator check:
\n" ); document.write( "cos a=1/3
\n" ); document.write( "a≈70.5288˚
\n" ); document.write( "csc((pi/2)-a)=1/sin((pi/2)-a)=1/cos(70.5288)≈3.0000…
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