tan theta - cot theta/sin theta.cos theta=sec^2 theta-cosec^2 theta=tan^2 theta-cot^2 theta
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Step-by-step explanation:
tanO - CotO / SinO*CosO
(SinO/CosO - CosO/SinO)/SinO*CosO
Sin²O - Cos²O / Sin²O*Cos²O
1/Cos²O - 1/Sin²O
= Sec²O - Cosec²O
= 1 + tan²O - (1+Cot²O)
= 1 + tan²O - 1 - Cot²O
= tan²O - Cot²O
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