document.write( "Question 333055: How do you solve this? And what type of math is it?\r
\n" ); document.write( "\n" ); document.write( "For 0 (degree symbol) is less than x is less than 90 (degree symbol), how many solutions are there for the equation 2 sin x = cos x
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Algebra.Com's Answer #238680 by jrfrunner(365)\"\" \"About 
You can put this solution on YOUR website!
in mathematics, there are many ways to solve some problems.
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\n" ); document.write( "the domain \"0%3Cx%3C90\" puts you in the first quadrant, where x=positive, y =positive
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\n" ); document.write( "solve for x
\n" ); document.write( "\"2%2Asin%28x%29+=+cos%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2+=+cos%28x%29%2Fsin%28x%29=cot%28x%29=1%2Ftan%28x%29\" (divide both sides by sin(x)
\n" ); document.write( "\"tan%28x%29=1%2F2\" (invert both sides of the equation)
\n" ); document.write( "\"x=arctan%281%2F2%29=26.565\"
\n" ); document.write( "since x=26.565 resides within the domain \"0%3Cx%3C90\" this is the answer
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