Problem If $\arcsin (3x - 4y) = 1.571$ and $\arccos (x - y) = 1.047$, what is the value of $x$?

Answer Key

Solution

$3x - 4y = \sin 1.571$ ← Equation (1)

$\arccos (x - y) = 1.047$

$x - y = \cos 1.047$ ← Equation (2)

From Equations (1) and (2), calculator in RAD mode $x = 1.0$ ← answer

$y = 0.5$

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