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Prove the trigonometric identity: cos A (tan A + 2) (2 tan A +1) = 2 secA + 5 sinA
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To Prove: cos A (tan A + 2) (2 tan A +1) = 2 secA + 5 sinA ( tanA + 2 ) ( 2tanA + 1 ) = 2tan^2(A) + 5tanA + 2 ( silly-mistake prone area ) = 2( 1 + tan^2(A) ) + 5 tanA = 2 sec^2(A) + 5 tanA = 2 secA / cosA + 5sinA/ cosA cosA ( tanA + 2 ) ( 2tanA + 1 ) = 2secA + 5sinA Proved. The end. |
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