Prove that: (tanx-cotx)=(2sin2x-1)/(sinx cosx).
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Step-by-step explanation:
2Sin²x - 1 / SinxCosx
=> 2Sin²x - (Sin²x + Cos²x) / SinxCosx
=> Sin²x - Cos²x / SinxCosx
=> Sin²x/SinxCosx - Cos²x/SinxCosx
=> Sinx/Cosx - Cosx/Sinx
=> Tanx - Cotx
=> R.H.S
Hence Proved.
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