Question

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

Answer 1

Given the following function:

`\text{ Sin(2x + 4) = Cos(26)}`

Let's find x,

`\text{ Sin(2x + 4) = Cos(26)}`
`\text{ Sin(2x + 4) = }0.89879`
`\text{ 2x + 4 = Sin}^(-1)(0.89879)`
`\text{ 2x + 4 = }64^(\circ)`
`\text{ 2x = }64^{}\text{ - 4}`
`\text{ 2x = }60`
`\text{ }\frac{\text{2x}}{2}\text{ = }(60)/(2)`
`\text{ x = 30}^(\circ)`

Therefore, x = 30 degrees.