document.write( "Question 1108426: Write as a trigonometry ratio of A, with the correct sign attached:
\n" ); document.write( "sin(90-A) \r
\n" ); document.write( "\n" ); document.write( "I don't understand why the answer is cos A instead of sin A, could someone please explain?\r
\n" ); document.write( "\n" ); document.write( "Similarly, for:\r
\n" ); document.write( "\n" ); document.write( "sin (90+A)\r
\n" ); document.write( "\n" ); document.write( "I don't understand why the answer is still cos A instead of sin A
\n" ); document.write( "

Algebra.Com's Answer #723454 by Alan3354(69443)\"\" \"About 
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Write as a trigonometry ratio of A, with the correct sign attached:
\n" ); document.write( "sin(90-A) \r
\n" ); document.write( "\n" ); document.write( "I don't understand why the answer is cos A instead of sin A, could someone please explain?
\n" ); document.write( "===============
\n" ); document.write( "90-A is the complement of A.
\n" ); document.write( "cosine is the complement of the sine.
\n" ); document.write( "It's a definition.
\n" ); document.write( "You can confirm it using the sum of angles:
\n" ); document.write( "sin(90-A) = sin(90)cos(A) - sin(A)cos(90) = cos(A)
\n" ); document.write( "=================================================================
\n" ); document.write( "Similarly, for:\r
\n" ); document.write( "\n" ); document.write( "sin (90+A)\r
\n" ); document.write( "\n" ); document.write( "I don't understand why the answer is still cos A instead of sin A
\n" ); document.write( "-------
\n" ); document.write( "Plot the terminal point of an angle on the unit circle.
\n" ); document.write( "The sin is y/r = y
\n" ); document.write( "Rotate the point 90 degs CCW, and the y value is now x.
\n" ); document.write( "x/r = cosine
\n" ); document.write( "------
\n" ); document.write( "And, as above:
\n" ); document.write( "sin(90+A) = sin(90)cos(A) + sin(A)cos(90) = cos(A)
\n" ); document.write( "The signs, + or minus, can be different depending on angle A.
\n" ); document.write( "
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