In a right triangle, the acute angles have the relationship sin (2x + 4) = cos (26).What is the value of x? *

Given the following function:
[tex]\text{ Sin(2x + 4) = Cos(26)}[/tex]Let's find x,
[tex]\text{ Sin(2x + 4) = Cos(26)}[/tex][tex]\text{ Sin(2x + 4) = }0.89879[/tex][tex]\text{ 2x + 4 = Sin}^{-1}(0.89879)[/tex][tex]\text{ 2x + 4 = }64^{\circ}[/tex][tex]\text{ 2x = }64^{}\text{ - 4}[/tex][tex]\text{ 2x = }60[/tex][tex]\text{ }\frac{\text{2x}}{2}\text{ = }\frac{60}{2}[/tex][tex]\text{ x = 30}^{\circ}[/tex]Therefore, x = 30 degrees.