Rounded, in Radians
Part of the Trig Equations and Inverses section of Coddy's Trigonometry journey. Lesson 29 of 56.
In radians the partners use π. For cos(x) = 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.
Challenge
Solve 3sin(x) = 1 for every x in [0, 2π), each to two decimal places, and press Check.
Try it yourself
Solve for x
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Trig Equations and Inverses
1Your First Trig Equations
One Equation, Two AnglesReading Signs on the CircleThe Reference AngleRecap: First Equations4Compositions
Draw the TriangleThe Outer FunctionA Negative InsideWhen Undoing Does Not UndoRecap: Compositions2Inverses and Their Ranges
Why arcsin Gives One AngleNegative Inputs to arcsinThe Range of arccosThe Range of arctanRecap: Inverse Ranges5Equations on a Domain
A Negative CosineTangent EquationsEquations in RadiansTwo Turns, Four AnswersRecap: On a Domain3Evaluating Inverse Trig
Rounded Angles in DegreesRounded Angles in Radiansarctan, RoundedAn Angle From a SlopeRecap: Inverse Values6Off the Special Angles
Both Answers, RoundedA Negative Sine, RoundedCosine, RoundedTangent, RoundedRounded, in RadiansRecap: Off the Table