Question

$\cos a= \frac{1}{ \sqrt{3} }$
then what is the answer of cot (-a)​

Answer 1

-1/√2

Step-by-step explanation:

cos a = 1/√3

Now,

sin²a = 1-cos²a = 1-(1/√3)² = 1-1/3 = 2/3

sin a = √2/√3

Now,

cot(-a) = -cot a

= -cos a/sin a

= -(1/√3)/(√2/√3)

= -1/√2