(1-tan)^2 + (1 - Cot)^2=(Seco - Cesec )^2
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Step-by-step explanation:
(1-tan)²+(1-cot)²
=1+tan²-2tan+1+cot²-2cot
=1+sec²-1+1+cosec²-1-2tan-2cot
=sec²+cosec²-2(tan+cot)
=sec²+cosec²-2(sin/cos+cos/sin)
=sec²+cosec²-2(1/sincos)
=sec²+cosec²-2sec cosec
=(sec-cosec)²
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