Given the expression sin(3x+10°)=cos(2x−10°) , which of the following uses the relationship between the sine and cosine of complementary angles to correctly determine the value of x?(1 point)

1 answer

By using the relationship between the sine and cosine of complementary angles, we know that sin(90°-θ) = cos(θ). In this problem, we can rewrite the given expression as sin(90° - (2x-10°)) = cos(2x-10°).
Simplifying further, we have sin(100° - 2x) = cos(2x - 10°).
Therefore, the correct answer is sin(100° - 2x) = cos(2x - 10°).