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Rounded, in Radians

Part of the Trig Equations and Inverses section of Coddy's Trigonometry journey. Lesson 25 of 52.

In radians the partners use π. For cos⁡(x)=0.6\cos\left(x\right) = 0.6 on [0, 2π), arccos(0.6) = 0.9273, so one answer is 0.93, and the other is 2π − 0.9273 = 5.3559, so 5.36.

Subtract from the exact value, not from the rounded one: 2π − 0.93 is 5.3532, which rounds to 5.35, one hundredth off. The board writes each case exactly, x = arccos(0.6) and x = 2π − arccos(0.6), and rounds each one.

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Challenge

Solve 3sin⁡(x)=13\sin\left(x\right) = 1 for every x in [0, 2π), each to two decimal places, and press Check.

Try it yourself

3sin⁡x=13\sin x = 1

Get xx alone0≤x<2π0 \le x < 2\pi

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