Answer to Question #151160 in Trigonometry for cherrina

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

"\\textsf{If }sin\\theta=\\alpha,\\\\\\textsf{The general solution of the equation }sinV=\\alpha\\textsf{ is}\\\\\nV=n180\u00b0+(-1)^n\\theta\\\\\n\\textsf{where n is an integer (positive, negative, or zero)}\\\\\nsin V=0.2588\\\\\n\\textsf{From tables, } sin15\\degree=0.2588, \\textsf{hence }V=15\u00b0\\textsf{is a solution}\\\\\n\\textsf{Thus, the general solution is}\\\\\nV=n180\u00b0+(-1)^n15\u00b0\\\\\n\\textsf{When n= 0 or 1 we obtain the solutions in the range 0\u00b0 to 360\u00b0}\\\\\n\\textsf{When }n=0, V=15\u00b0\\\\\n\\textsf{When }n=1, V=165\u00b0\\\\"


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