Question

if cosec∅ = 2\√3 then find ∅​

Answer 1

Given: cosec theta is equal to 2 upon root 3

To find: the value of acute angle theta

Solution:

Now we have given cosec theta is equal to 2 upon root 3.

Numerically, we have:

            cosec theta = 2/√3

Reciprocating it, we get:

            1/ cosec theta = √3 / 2

Now we know that 1/ cosec theta is sin theta, so:

            sin theta = √3 / 2

            theta = sin^-1 (√3 / 2)

            theta = 60°

Answer:

          So the value of acute angle theta​ is 60°