Question

if sin O =1/2 and cos O=√3/2 , find the value of cot O and sec O​

Answer 1

$\huge\underline\mathfrak\pink{Solution}$

$sin \:θ = \frac{1}{2} \\ \\ cos \: θ = \frac{ \sqrt{3} }{2}$

$cot \: θ = \frac{cos \: θ}{sin \: θ} \\ \\ cot \: θ = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} } \\ \\ cot \: θ = \frac{ \sqrt{3} }{2} \times \frac{2}{1} \\ \\ cot \: θ = \frac{ \sqrt{3} }{1} \\ \\ cot \: θ = \sqrt{3}$

$sec \: θ = \frac{1}{cos \: θ} \\ \\ sec \: θ = \frac{1}{ \frac{ \sqrt{3} }{2} } \\ \\ sec \: θ = \frac{2}{ \sqrt{3} }$