Question #9925d

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Answer 1 · 2017-01-10T02:42:16

#(sinx/cosx - 1)/(sinx/cosx + 1) = (1 - cosx/sinx)/(1 + cosx/sinx)#

#((sinx - cosx)/cosx)/((sinx + cosx)/cosx) = ((sinx - cosx)/sinx)/((sinx + cosx)/sinx)#

#(sinx - cosx)/cosx * cosx/(sinx + cosx) = (sinx - cosx)/sinx * sinx/(sinx + cosx)#

#(sinx - cosx)/(sinx + cosx) = (sinx - cosx)/(sinx + cosx)#

#LHS = RHS#

Identity proved!

Hopefully this helps!