1.

उदाहरण /. !सड करार डकProwg का 9 _ #ल<8+1T il 2secO+1 tan® sa—

Answer»

LHS= tanA/secA - 1 + tanA/secA + 1

= sinA/cosA / 1/cosA - 1 + sinA/cosA / 1/cosA + 1 [because tan A = sin A / cos A and sec A = 1 / cos A]

= sinA/cosA / (1 - cosA) / cosA + sinA/cosA / (1 + cosA) / cos A

= sinA / 1 - cosA + sinA / 1 + cos A

= [sinA (1 + cosA) + sinA (1 - cosA)] / (1 - cosA) (1 + cosA)

= [sinA + sinAcosA + sinA - sinAcosA] /1-cos^2A

= 2sinA /sin^2A[From identity:sin^2A+cos^2A= 1]

= 2 / sin A

= 2 x 1 / sinA

= 2 cosec A [because 1 / sin A = cosec A]

=RHS

5_-7×-9_-2=-9_2×5_-7



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