Question

If tan x = 2 - √3 then what is the value of sin x ?

Answer 1

Answer:

sin 30⁰= 1/2

Explanation:-

tanx=2-√3

or,cotx=1/2-√3

or,cotx=1+2-√3/1-2+√3

or,cotx=3-√3/√3-1

or,cotx=3-√3(√3+1)/√3-1(√3+1)

or,cotx=2√3/2

or,cotx=√3

or,cotx=cot 30⁰. {as cot30⁰=√3}

or,X= 30⁰

therefore Sinx=sin30⁰=1/2