document.write( "Question 917709: Suppose sinθ=x/4 and the angle θ is in the first quadrant. Write algebraic expressions for cos(θ) and tan(θ) in terms of x. \n" ); document.write( "

Algebra.Com's Answer #556798 by Fombitz(32388) $\"\"$ $\"About$

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$\"sin%28theta%29%5E2%2Bcos%28theta%29%5E2=1\"$
\n" ); document.write( " $\"x%5E2%2F16%2Bcos%28theta%29%5E2=1\"$
\n" ); document.write( " $\"cos%28theta%29%5E2=1-x%5E2%2F16\"$
\n" ); document.write( " $\"cos%28theta%29=0+%2B-+sqrt%281-x%5E2%2F16%29\"$
\n" ); document.write( "Since $\"theta\"$ is in the first quadrant, $\"cos%28theta%29%3E=0\"$ ,
\n" ); document.write( "so,
\n" ); document.write( " $\"cos%28theta%29=sqrt%281-x%5E2%2F16%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"tan%28theta%29=sin%28theta%29%2Fcos%28theta%29\"$
\n" ); document.write( " $\"tan%28theta%29=%28x%2F16%29%2F%28sqrt%281-x%5E2%2F16%29%29\"$
\n" ); document.write( " $\"tan%28theta%29=x%2F%284%2Asqrt%2816-x%5E2%29%29%29\"$
\n" ); document.write( " \n" ); document.write( "

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