(1+tanA+secA)(1+cotA-cosecA)
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(1+tan+sec)(1+cot-cosec)
(1+sin/cos+1/cos)(1+cos/sin-1/sin)
((cos+sin+1)/cos)((sin+cos-1)/sin)
((cos+sin)^2-1^2)/sin*cos {(a+b)(a-b)=a^2-b^2}
(cos^2+sin^2+2sin*cos-1)/sin*cos {(a+b)^2=a^2+b^2+2ab}
(1+2sin*cos-1)/sin*cos
2sin*cos/sin*cos
2
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see in google ans is there
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