G.4 - 6 Solving Trigonometric Equations

[size=150]Let's solve a few trig ratio problems together.[br][br][/size]In these problems, x represents the unknown side length of a right triangle.
Solve the equation, round your answer to the nearest tenth.[br][br][img]data:image/png;base64,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[/img]
Solve the equation, round your answer to the nearest tenth.[br][br][img]data:image/png;base64,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[/img]
Solve the equation[br][br][img]data:image/png;base64,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[/img]
Solve the equation[br][br][img]data:image/png;base64,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[/img]
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Information: G.4 - 6 Solving Trigonometric Equations