Question

Evaluate (1+tan a + sec a) (1+ cot a - cosec a)

Answer 1

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Answer 2

[{1+(sin a/cos a)+(1/cos a)}{1+(cos a/ sin a)-(1/sin a)}]

[{(Cos a +sin a+1)/cos a}{(sin a+ cos a-1)/sin a}]

[(sin a + cos a)²-(1)²]/(sin a cos a)
[sin²a + cos²a + 2sin a cos a -1]/sin a cos a
(1+2 sin a cos a -1 )/(sin a cos a)
(2sin a cos a)/(sin a cos a)
2