(1 + tan A + sec A) ( 1 + cot A - cosec A)
a) 0
b) 1
c) 2
d) -1
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Answer:
=(1+sinA/cosA+1/cosA)(1+cosA/sinA-1/sinA)
=(cosA +sinA+1/cosA)(sinA+cosA-1/sinA)
=(cosA+sinA)2-(1)2/cosAsinA
=cos2A + 2cosAsinA +sin2A -1/cosAsinA
=1+2cosAsinA-1/cosAsinA
=2cosAsinA/cosAsinA
=2
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