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)
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°).