SOLUTION: Prove that sin A +cos A-1/sin A -cos A + 1=1/sec A + tan A

Question 549742: Prove that
sin A +cos A-1/sin A -cos A + 1=1/sec A + tan A
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Prove that
sin A +cos A-1/sin A -cos A + 1=1/sec A + tan A
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sin A +cos A-1/sin A -cos A + 1= cos A + (sin A/cos A)
sin + cos -1/sin - cos + 1= cos + (sin/cos) (All the angles are A)
sin -1/sin + 1= cos + (sin/cos)
Multiply thru by sin*cos
sin^2cos - cos = sincos^2 + sin^2
sin^2cos - sin^2 - cos = sincos^2
sin^2*(cos - 1) - cos = sin*cos^2
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this is not recognizable.
Use A = 45 degs
(1/2)*(sqrt(2)/2 - 1) - sqrt(2)/2 = (1/2)*sqrt(2)/2
sqrt(2)/4 - 1/2 = sqrt(2)/4
Not true.

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