document.write( "Question 1012039: If 25 cosx-3sinx =0 find tanx and cot
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Algebra.Com's Answer #627865 by ValorousDawn(53) $\"\"$ $\"About$

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We have $\"25cos%28x%29-3sin%28x%29=0\"$
\n" ); document.write( "Divide across by cos(x). $\"%2825-cos%28x%29%29%2Fcos%28x%29-%283sin%28x%29%29%2Fcos%28x%29=0%2Fcos%28x%29\"$ , with the fact that cos(x) cannot be 0, as we cannot divide by 0.
\n" ); document.write( "Rearrange, and simplify to get $\"25-3sin%28x%29%2Fcos%28x%29=0\"$
\n" ); document.write( "Recall that $\"tan%28x%29=sin%28x%29%2Fcos%28x%29\"$ to get $\"25-3tan%28x%29=0\"$
\n" ); document.write( "Isolate tan(x) by adding 3tan(x) to both sides and then dividing by 3. $\"tan%28x%29=25%2F3\"$
\n" ); document.write( "Recall that $\"cot%28x%29=1%2Ftan%28x%29\"$ . Substitute this in to get $\"cot%28x%29=3%2F25\"$ \r
\n" ); document.write( "\n" ); document.write( "However, these are only the terminal angles, you must include multiple revolutions in your answer.
\n" ); document.write( " $\"tan%28x%29=25%2F3%2B2npi\"$
\n" ); document.write( " $\"cot%28x%29=3%2F25%2B2npi\"$ \n" ); document.write( "

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