document.write( "Question 1127162: If cos(theta) = -0.6 and sin(theta) is greater than 0, find the exact value of tan(theta) + sin(theta) \n" ); document.write( "

Algebra.Com's Answer #743578 by josmiceli(19441) $\"\"$ $\"About$

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The cos is negative in both the
\n" ); document.write( "2nd and 3rd quadrants
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\n" ); document.write( "Between these two, the sin is
\n" ); document.write( "positive in the 2nd quadrant
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\n" ); document.write( "If $\"+cos%28+theta+%29+=+-.6+\"$ then
\n" ); document.write( " $\"+%28+-.6+%29%5E2+%2B+%28+.8+%29%5E2+=+1%5E2+\"$
\n" ); document.write( " $\"+.36+%2B+.64+=+1+\"$ , so
\n" ); document.write( " $\"+sin%28+theta+%29+=+.8+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+.8%2F%28-.6%29+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+-4%2F3+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+tan%28+theta+%29+%2B+sin%28+theta+%29+=+-4%2F3+%2B+4%2F5+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+%2B+sin%28+theta+%29+=+-20%2F15+%2B+12%2F15+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+%2B+sin%28+theta+%29+=+-8%2F15+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "check the math
\n" ); document.write( " \n" ); document.write( "

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