value of (1+tan+sec)(1+cot-cosec)
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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)
((sin + cos )² - 1 )/sin cos
(sin² + cos² + 2sin cos -1)/sin cos
(1+2sin cos -1)/sin cos
2sin cos /sin cos
= 2
( 1 + sin/cos + 1/cos )(1+ cos/sin - 1/sin)
((cos + sin + 1)/cos)((sin + cos -1)/sin)
((sin + cos )² - 1 )/sin cos
(sin² + cos² + 2sin cos -1)/sin cos
(1+2sin cos -1)/sin cos
2sin cos /sin cos
= 2
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