Is sin + cos =√2,then evaluate: tan + cot

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Solution

squaring first equatio
sin^2(a)+cos^2(a) +2sin( a) cos( a)=2
1+2sin(a)cos(a)=2
2sin(a)cos(a)=1
sin(a)cos(a)=1/2
tan a+cot a=sin a/cos a +cos a/sin a
=sin ^2 a +cos ^2 a/sin a cos a
=1/(1/2)
=2

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