Write the value of cos^(-1)(1/2) - 2sin^(-1)(-1/2) is 2π/3. (True/False)

Question

Write the value of cos^-1(\(\frac{1}{2}\)) - 2sin^-1(-\(\frac{1}{2}\)) is \(\frac{2\pi}{3}\). (True/False)

Answer 1

Correct answer is True

Answer 2

cos^-1( 1/2 ) - 2sin^-1(- 1/2)  = π/3  - 2 (- π/6 ) = π/3  + π/3  = 2π/3