Question

if cosec theta is equal to 2 upon root 3 then find the value of acute angle theta​

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°.