Question

Solve for x - 1.5 = 0.23" alt="2 \sin(x) - 1.5 = 0.23" align="absmiddle" class="latex-formula">
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Answer 1

Add 1.5 to both sides:

$2\sin(x) = 1.83$

Divide both sides by 2:

$\sin(x) = 0.915$

Consider the arcsin of both sides:

$\arcsin(\sin(x)) = \arcsin(0.915)$

Arcsin and sin simplify, because they are inverse of each other:

$x = \arcsin(0.915)$