The relationship between the sine and cosine of complementary angles states that sin(90° - θ) = cos(θ).
In the given expression sin(3x + 10°) = cos(2x - 10°), notice that there are angles that are complementary to each other. Let's identify these angles:
θ = 3x + 10°
90° - θ = 90° - (3x + 10°) = 80° - 3x
Since sin(θ) = cos(90° - θ), we can rewrite the expression as follows:
sin(θ) = cos(90° - θ)
sin(3x + 10°) = cos(80° - 3x)
Therefore, the correct relationship that uses the relationship between the sine and cosine of complementary angles to determine the value of x is sin(3x + 10°) = cos(80° - 3x).
given the expression sin(3x+10degrees) = cos(2x-10degrees) which of the following uses the relationship between the sine and cosine of complementary angles to correctly determine the value of x
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