Solve 4sin 2x453 where x is between 0 and 360SolutionSolutio

Solve 4sin 2(x+45°)=3 where x is between 0° and 360°

Solution : Equation 4sin 2(x+45°) = 3, where x is between 0° and 360°.

Thus sin 2(x+45°) = 3/4

or 2(x+45°) = sin^-1 (3/4)

or (x+45°) = (1/2)*sin^-1 (3/4)

or x = (1/2)*sin^-1 (3/4) - 45°

or x = 24.295 - 45°

or x = - 20.70°

Therefore x = 339.295°. Ans