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trigonometry
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Asked by anuragrr1222 | 29 Nov, 2023, 06:37: PM
answered-by-expert Expert Answer
Above figure shows Δ ABC with begin mathsize 14px style angle end styleC = 90o
tan(A) = a/b and tan(B) = b/a
 
c2 = a2 + b2
 
Let us consider the following equation
 
(ab) x2 - c2 x + ab = 0
 
Roots of above equation are
 
Hence roots are a/b and b/a
 
Only equation gives the roots as tanA and tanB is " (ab) x2 - c2 x + ab = 0 "
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