1.

( sin A + cosec A ) 2 + ( cos A + sec A ) = 7 + tan2 A + cot2 A

Answer» (SinA +cosecA)2+(cosA+secA)2=7+tan2A cot2A=sin2A+cosec2A+2sinA×cosecA+cos2A+sec2A+2secA×cosA=sin2A+cos2A +cosec2A+sec2A+2+2=1+2+2+cosec2A +sec2A=5+(1+cot2A ) +(1+tan2A)=7+cot2A+ tan2A (Sin2A+cos2A=1)
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