Wednesday, May 21, 2014

assuming that cos(theta)=2/7 for an acute angle theta, find sin(theta)

Given:
cos%28theta%29=2%2F7
the fastest way is to use the pythagorean identity:
sin%28theta%29=sqrt%281-cos%28theta%29%5E2%29=sqrt%281-%282%2F7%29%5E2%29

which simplifies to...

%283%2Asqrt%285%29%29%2F7
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