Question
cosx/(1 – sinx) + cosx/(1+ sinx) = 4, 0 o
x < 90 o , then the value of (tanx + cosecx)Solution
cosx/(1 – sinx) + cosx/(1 + sinx) = 4
cosx(1 + sinx) + cosx(1 – sinx) = 4(1 – sin 2 x)
cosx + cosxsinx + cosx – cosxsinx = 4cos 2 x
2cosx = 4cos 2 x
cosx = 1/2
So, x = 60 o
tanx + cosecx = √3 + 2/√3 = 5√3/3
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