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Question #e6ede

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Mar 16, 2017

$sin110+cos70*tan190$

$=sin(90+20)+cos(90-20)*tan(180+10)$

$=cos20+sin20*tan10$

$=2cos^2 10-1+2sin10cancelcos10*sin10/cancelcos10$

$=2cos^2 10-1+2sin^210$

$=2(cos^2 10+sin^2 10)-1$

$=2*1-1=1$

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