document.write( "Question 207162: show that sinθ = cosθ tanθ \n" ); document.write( "
Algebra.Com's Answer #156604 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
sin(θ) = \"o%2Fh\"
\n" ); document.write( "cos(θ) = \"a%2Fh\"
\n" ); document.write( "tan(θ) = \"o%2Fa\"
\n" ); document.write( "-----
\n" ); document.write( "-----
\n" ); document.write( "o = side opposite angle θ
\n" ); document.write( "a = side adjacent angle θ
\n" ); document.write( "h = hypotenuse of the right triangle.
\n" ); document.write( "-----
\n" ); document.write( "cos(θ) * tan(θ) = \"%28a%2Fh%29+%2A+%28o%2Fa%29\" = \"%28%28a%2Ao%29%29%2F%28%28h%2Aa%29%29\" = \"%28o%2Fh%29\" because the a in the numerator cancels the a in the denominator.
\n" ); document.write( "-----
\n" ); document.write( "you are left with sin(θ) = \"%28o%2Fh%29\" = cos(θ) * tan(θ)
\n" ); document.write( "
\n" ); document.write( "
\n" );