If θ is an acute angle such that sec2θ = 3, then the value of is

Given,


Sec2θ = 3


So,


Sec θ = √3 = h/b = k


Therefore,


h = √3k, b = k


In ∆ABC,


18.bmp


h2 = p2 + b2


(√3k)2 = p2 + (k)2


3k2 = p2 + k2


3k2 – k2 = p2


2k2 = p2


√2 K = p


We know,


tan θ = p/b = √2k/k = √2


cosec θ = h/p = √3k/√2k = √3/√2


Put these value in,




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