document.write( "Question 958119: Suppose x is a real number such that 3tan(t)=x where t is a first quadrant angle. Find algebraic expressions (in terms of 3 and x ) for sin(t) and cos(t). \n" ); document.write( "

Algebra.Com's Answer #585525 by lwsshak3(11628) $\"\"$ $\"About$

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Suppose x is a real number such that 3tan(t)=x where t is a first quadrant angle. Find algebraic expressions (in terms of 3 and x ) for sin(t) and cos(t).
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\n" ); document.write( "3tan(t)=x
\n" ); document.write( "tan(t)=x/3
\n" ); document.write( "hypotenuse of reference right triangle in quadrant I =√(x^2+3^2)
\n" ); document.write( "sin(t)=x/√(x^2+3^2)
\n" ); document.write( "cos(t)=3/√(x^2+3^2) \n" ); document.write( "

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