To simplify these trigonometric expressions, we first need to recognize the trigonometric identities:
Therefore, we have:
From the first equation, we find that x = 30 degrees.
From the second equation, we find that x = 270 degrees.
Since these two values are not the same, there is no solution that satisfies both equations simultaneously.
To simplify these trigonometric expressions, we first need to recognize the trigonometric identities:
cos(270-x) = sin(x)sin(pi-x) = sin(x)Therefore, we have:
sin(x) = 1/2sin(x) = -1From the first equation, we find that x = 30 degrees.
From the second equation, we find that x = 270 degrees.
Since these two values are not the same, there is no solution that satisfies both equations simultaneously.