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 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.
Challenge
Solve for every x in [0, 2π), each to two decimal places, and press Check.
Try it yourself
Get alone
All lessons in Trig Equations and Inverses
4Compositions
Draw the TriangleThe Outer FunctionA Negative InsideWhen Undoing Does Not UndoRecap: Compositions2Inverses and Their Ranges
Why arcsin Gives One AngleThe Range of arccosThe Range of arctanRecap: Inverse Ranges5Equations on a Domain
A Negative CosineTangent EquationsEquations in RadiansTwo Turns, Four AnswersRecap: On a Domain6Off the Special Angles
Both Answers, RoundedA Negative Sine, RoundedCosine, RoundedTangent, RoundedRounded, in RadiansRecap: Off the Table