Final answer:
The value of x is 12
Step-by-step explanation:
To solve the equation sin(3x + 5)° = cos(4x + 1)°, we can use the trigonometric identity sin(a) = cos(90 - a).
So, we have sin(3x + 5)° = cos(90 - (4x + 1))°.
By using this identity, we can write:
3x + 5° = 90 - (4x + 1)°
Simplifying the equation:
3x + 5° = 90 - 4x - 1°
7x = 84°
x = 12°