Question 149972
{{{SIN=3/5}}}
Pythagorean identities
{{{SIN=OPP/HYP}}}
{{{COS=ADJ/HYP}}}
{{{OPP^2+ADJ^2=HYP^2}}}
{{{OPP^2/HYP^2+ADJ^2/HYP^2=1}}}
{{{SIN^2+COS^2=1}}}
{{{(3/5)^2+COS^2=1}}}
{{{(9/25)+COS^2=1}}}
{{{COS^2=25/25-9/25}}}
{{{COS^2=16/25}}}
{{{COS=4/5}}} or {{{COS=-4/5}}}
Since it's in the second quadrant, the cosine is negative.
{{{COS=-4/5}}}
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{{{TAN=SIN/COS}}}
{{{TAN=(3/5)/(-4/5)}}}
{{{TAN=-3/4}}}
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{{{SEC=1/COS}}}
{{{SEC=-5/4}}}
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{{{CSC=1/SIN}}}
{{{CSC=5/3}}}.
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{{{COT=1/TAN}}}
{{{COT=-4/3}}}