document.write( "Question 302858: In a right triangle you know that the sine of one angle is 4/5 . Find the cosine and tangent of this angle. \n" ); document.write( "

Algebra.Com's Answer #217128 by london maths tutor(243) $\"\"$ $\"About$

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Let's the angle be x\r
\n" ); document.write( "\n" ); document.write( "sin x = $\"+4%2F5+\"$ \r
\n" ); document.write( "\n" ); document.write( "This shows that the side opposite angle x is 4 and the longest side of the triangle is 5. \r
\n" ); document.write( "\n" ); document.write( "This means the missing length should be 3.
\n" ); document.write( "Using Pythagoras Theorem, 5^2 = (4^2 + ?^2)
\n" ); document.write( "25 = 16 + ?^2
\n" ); document.write( "? = sqrt( 25 - 16)
\n" ); document.write( "? = sqrt (9)
\n" ); document.write( "? = 3 ( hence shown )\r
\n" ); document.write( "\n" ); document.write( "tan x = $\"4%2F3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "cos x = $\"%283%2F5%29\"$ \r
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