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If tan 2A= cot(A-18) |
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Answer» Tan 2A=cot(A-18)cot(90-2A)=cot(A-18)90-2A=A-1890+18=A+2A108=3A108/3=AA=36 Ratios of Complementary angles ,Two angles are said to be Complementary , if their sum is equalto 90°.As you know that ,Cot ( 90 - x ) = tan xAccording to the problem given,Tan 2A = cot ( A - 18 )Cot ( 90 - 2A ) = cot ( A - 18 )Remove the cot both sideswe get ,90 - 2A = A - 18-2A - A = - 18 - 90- 3A = - 108A = ( - 108 ) / ( - 3 )A = 36° A = 36 |
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