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In a right angled triangle, acute angle A and B satisfy `tanA+tanB+tan^2A+tan^2B+tan^3A+tan^3B=70.` Find the angle A and B in radians.

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To solve the problem, we need to find the angles A and B in a right-angled triangle given the equation: \[ \tan A + \tan B + \tan^2 A + \tan^2 B + \tan^3 A + \tan^3 B = 70 \] ### Step 1: Use the property of angles in a right triangle In a right-angled triangle, if angle C is 90 degrees, then: ...
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