document.write( "Question 1111789: Given sinθ, 2 cosθ and 2 sinθ are three consecutive terms in an arithmetic sequence. Find the value of θ in radians given θ is an acute angle. \n" ); document.write( "

Algebra.Com's Answer #726898 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Given three consecutive terms in an arithmetic sequence, the middle one is the average of the other two. So in this problem
\n" ); document.write( " $\"2cos%28x%29+=+%28sin%28x%29%2B2sin%28x%29%29%2F2\"$
\n" ); document.write( " $\"4cos%28x%29+=+3sin%28x%29\"$
\n" ); document.write( " $\"sin%28x%29%2Fcos%28x%29+=+4%2F3\"$
\n" ); document.write( " $\"tan%28x%29+=+4%2F3\"$
\n" ); document.write( "x = arctan(4/3) \n" ); document.write( "

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