cos A/1+sinA+cosA/1-sinA = 4
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cos (1+sin)
(1+sin) + cos
= cos2 + (1+sin)2
cos*(1+sin)
= cos2 + 1 + 2sin + sin2
cos*(1+sin)
we know that cos2 + sin2 = 1
= (1+1+2sin)
cos*(1+sin)
= (2+2sin)
cos*(1+sin)
= 2(1+sin)
cos*(1+sin)
= 2
cos
= 2sec
(1+sin) + cos
= cos2 + (1+sin)2
cos*(1+sin)
= cos2 + 1 + 2sin + sin2
cos*(1+sin)
we know that cos2 + sin2 = 1
= (1+1+2sin)
cos*(1+sin)
= (2+2sin)
cos*(1+sin)
= 2(1+sin)
cos*(1+sin)
= 2
cos
= 2sec
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