Answer:
We know that:
sin(148°) = sin(180° - 32°)
Using the sine of the difference identity:
sin(180° - x) = sin(x)
So, sin(148°) = sin(32°)
Now, using the Pythagorean identity:
sin²(x) + cos²(x) = 1
sin²(32°) + m² = 1
sin²(32°) = 1 - m²
sin(32°) = √(1 - m²)
Therefore, sin(148°) = √(1 - m²).
