document.write( "Question 1108426: Write as a trigonometry ratio of A, with the correct sign attached:
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document.write( "sin(90-A) \r
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document.write( "I don't understand why the answer is cos A instead of sin A, could someone please explain?\r
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document.write( "Similarly, for:\r
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document.write( "sin (90+A)\r
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document.write( "I don't understand why the answer is still cos A instead of sin A \n" );
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Algebra.Com's Answer #723454 by Alan3354(69443) You can put this solution on YOUR website! 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( " |