document.write( "Question 1133873: if sin A=6÷13 and SecB=13÷6 then A+B is equal to
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document.write( "150°
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document.write( "90°
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document.write( "60°
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document.write( "45° \n" );
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Algebra.Com's Answer #751213 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There is indeed no need to calculate anything; but the two angles are not each 45 degrees. (sin(45) is not 6/13....) \n" ); document.write( "We are given sinA = 6/13 and secB = 13/6. We then know that cosB = 6/13. \n" ); document.write( "So we have an angle A whose sine is the same as the cosine of another angle B. \n" ); document.write( "Picture a right triangle with A and B as the acute angles. Then the basic definition of sine and cosine tells us that the sine of one of the angles is the cosine of the other. \n" ); document.write( "So, because we have two angles with the sine of one being equal to the cosine of the other, we know the angles are the acute angles of a right triangle; therefore their sum is 90 degrees. \n" ); document.write( " |