Question 959889
Find the exact value of sin theta, given tan theta < 0 and cos theta =2/9
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Use the Pythagorean Identity
{{{sin^2(t) + cos^2(t) = 1}}}
{{{sin^2(t) = 1 - (4/81) = 77/81}}}
|sin(t)| = {{{sqrt(77)/9}}}
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cos + and tan negative --> Q4
sine is neg in Q4
--> sin(t) = -sqrt(77)/9