sin (1 +tan) + cos (1 + cot) is equal to sec a + cosec a
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LHS : sinA(1+ tanA) + cosA(1+cotA)
=sinA + sinAtanA + cosA + cosAcotA
=sinA +[sinA × sinA/cosA)] + cosA +[ cosA × (cosA/sinA)]
= sinA + (sin2A/cos2A) + cosA + ( cos2A/ sin2A)
=(cos2A+ sin2A)/ cosA + (sin2A + cos2A ) / sinA
= 1/cosA + 1/sinA
= secA + cosecA
= RHS
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