document.write( "Question 802600: I could use a little help with this math question for my ACT prep worksheets I've been working on. It is question 433 in my booklet:
\n" ); document.write( "Using a right triangle with an acute angle theta, find the other five trigonometric functions of theta if cos theta = 2/5 I am told not to use decimals in my answer.\r
\n" ); document.write( "\n" ); document.write( "I was hoping you could show me the answer and sort of a guide/process of how you got it, so I can be sure to really learn from it and make sure I \"get it down\" for future similar questions. Thank you for taking the time to answer my question, Reggie \n" ); document.write( "
Algebra.Com's Answer #483933 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Using a right triangle with an acute angle theta, find the other five trigonometric functions of theta if cos theta = 2/5
\n" ); document.write( "***
\n" ); document.write( "use x for theta
\n" ); document.write( "Identity: sin^2x+cos^2x=1
\n" ); document.write( "sin^2x=1-cos^2x
\n" ); document.write( "take sqrt of both sides
\n" ); document.write( "sinx=√(1-cos^2x)
\n" ); document.write( "sinx=√(1-(2/5)^2)
\n" ); document.write( "=√(1-4/25)
\n" ); document.write( "=√(25/25-4/25)
\n" ); document.write( "=√(21/25)
\n" ); document.write( "sinx=√21/5
\n" ); document.write( "..
\n" ); document.write( "cosx=2/5(given)
\n" ); document.write( "sinx=√21/5
\n" ); document.write( "tanx=sinx/cosx=√21/2
\n" ); document.write( "secx=1/cosx=5/2
\n" ); document.write( "cscx=1/sinx=5/√21=5√21/21
\n" ); document.write( "cotx=1/tanx=2/√21=2√21/21
\n" ); document.write( " \n" ); document.write( "
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