Question #151160
sin V = 0.2588
1
Expert's answer
2020-12-30T03:02:50-0500

If sinθ=α,The general solution of the equation sinV=α isV=n180°+(1)nθwhere n is an integer (positive, negative, or zero)sinV=0.2588From tables, sin15°=0.2588,hence V=15°is a solutionThus, the general solution isV=n180°+(1)n15°When n= 0 or 1 we obtain the solutions in the range  to 360°When n=0,V=15°When n=1,V=165°\textsf{If }sin\theta=\alpha,\\\textsf{The general solution of the equation }sinV=\alpha\textsf{ is}\\ V=n180°+(-1)^n\theta\\ \textsf{where n is an integer (positive, negative, or zero)}\\ sin V=0.2588\\ \textsf{From tables, } sin15\degree=0.2588, \textsf{hence }V=15°\textsf{is a solution}\\ \textsf{Thus, the general solution is}\\ V=n180°+(-1)^n15°\\ \textsf{When n= 0 or 1 we obtain the solutions in the range 0° to 360°}\\ \textsf{When }n=0, V=15°\\ \textsf{When }n=1, V=165°\\


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