Given that tan x = 1, where 0o (geq) x 90o, evaluate (frac{1 – sin^2…

Given that tan x = 1, where 0^o (geq) x 90^o, evaluate (frac{1 – sin^2 x}{cos x})

Correct Answer: Option C

Explanation

Given tan x = 1
x = tan^-1(1)
x = 45^o
Now, (frac{1 – ( frac{1}{sqrt{2} )^2}}{frac{1}{sqrt{2}}})
= (frac{1 – frac{1}{2}}{frac{1}{2}})
= (frac{1}{2} + frac{1}{sqrt{2}})
= (frac{1}{2} times frac{1}{sqrt{2}})
= (frac{sqrt{2}}{2})