document.write( "Question 978428: Hello!\r
\n" ); document.write( "\n" ); document.write( "I need help solving this please:\r
\n" ); document.write( "\n" ); document.write( "Use the given values to evaluate (if possible) all six trigonometric functions. \r
\n" ); document.write( "\n" ); document.write( "tan x=1, cos x=- squart2/2\r
\n" ); document.write( "\n" ); document.write( "what is sinx and cscx? \n" ); document.write( "

Algebra.Com's Answer #599922 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
If the information given was $\"system%28tan%28x%29=1%2Ccos%28x%29=-sqrt%282%29%2F2%29\"$ ,
\n" ); document.write( "that is more information than needed. Very generous!
\n" ); document.write( " $\"system%28tan%28x%29=1%2Ccos%28x%29%3C0%29\"$ would have been enough information.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"system%28tan%28x%29=1%2Ctan%28x%29=sin%28x%29%2Fcos%28x%29%29\"$ ---> $\"sin%28x%29%2Fcos%28x%29=1\"$ ---> $\"sin%28x%29=cos%28x%29\"$ .
\n" ); document.write( "So $\"highlight%28sin%28x%29=cos%28x%29=-sqrt%282%29%2F2%29\"$ gives you 2 of the trigonometric functions.
\n" ); document.write( " $\"system%28sec%28x%29=1%2Fcos%28x%29%2Ccos%28x%29=-sqrt%282%29%2F2%29\"$ ---> $\"sec%28x%29\"$ = $\"1%2F%28%28-sqrt%282%29%2F2%29%29\"$ = $\"-1%282%2Fsqrt%282%29%29\"$ ---> $\"sec%28x%29=-sqrt%282%29\"$ and
\n" ); document.write( " $\"system%28csc%28x%29=+1%2Fsin%28x%29%2Csin%28x%29=cos%28x%29%29\"$ ---> $\"csc%28x%29=1%2Fcos%28x%29=-sqrt%282%29\"$ too.
\n" ); document.write( "So $\"highlight%28sec%28x%29=csc%28x%29=-sqrt%282%29%29\"$ gives you another 2 trigonometric functions.
\n" ); document.write( "Finally, $\"system%28tan%28x%29=1%2Ccot%28x%29=1%2Ftan%28x%29%29\"$ ---> $\"cot%28x%29=1%2F1=1\"$ ,
\n" ); document.write( "so $\"highlight%28tan%28x%29=cot%28x%29=1%29\"$ completes the set of 6 trigonometric funcions,
\n" ); document.write( "and as a bonus $\"x=45%5Eo%2B180%5Eo=225%5Eo\"$ ,
\n" ); document.write( "or if you want the angle in radians, $\"x=pi%2F4%2Bpi=5pi%2F4\"$ ,
\n" ); document.write( "because $\"sin%28y%29=cos%28y%29=sqrt%282%29%2F2\"$ for the reference angle $\"y=45%5Eo\"$ or $\"y=pi%2F4\"$ . \n" ); document.write( "

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