prove that (1+cot theta-cosec theta)(1+tan theta +sec theta)=2
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(1+ cot - cosec) ( 1+ tan + sec)
( 1+ cos/sin - 1/sin)( 1+ sin/cos +1/cos)
sin + cos -1) ( sin + cos +1)/ sin cos
( sin+ cos)^2 -1)/ sin cos
sin^2 + cos^2 + 2 sincos-1)/sin cos
1+ 2 sin cos -1)/ sin cos
2 sin cos/sin cos
2
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