![]() ![]() I'm unsure if that solves the last problem, though plugging it into Wolfram Alpha will tell you. Another good rule of thumb is that if one interpretation gives an algebraic answer, use that interpretation. If it's unspecified and of the form $360/n$ for some integer $n$, use degrees. If it's unspecified and a $\pi$ shows up, you should assume radians. ![]() In contexts where you think your professor has simplified by opting to not use the degree symbol, some general rules of thumb can be applied. If none of the problems had been marked with a degree symbol, I might think otherwise since $42.5$ is much bigger than $2\pi$. I would guess that $42.5$ is supposed to be in radians, because everywhere else in the problem the professor has been careful to use the degree symbol, making me think its omission is deliberate. This interpretation agrees with the rules of thumb that I am about to give everywhere that it's applicable, leaving the last problem. If you have been taught the technically correct rule, definitely use it. However, humans tend to be bad at being technically correct, so if you haven't been told to use radians unless otherwise specified I would consider making contextual judgement calls. radian mode: cos (5) 0.2837 the 5 is assumed to be radians. eg degree mode: cos (5) 0.9962 the 5 is assumed to be degrees. The following shows a calculation that uses degrees. A degree is 1/360 of the circumference of a circle. Degree: If 'D' or 'DEG' is on the display, it means that the current angle mode is Degree. Graphmatica for Windows and Macs is distributed free of charge for evaluation purposes. It runs on Microsoft Windows (all versions), Mac OS X 10.5 and higher, and iOS 5.0 and higher. The technically correct thing to do is to assume that everything is in radians unless otherwise specified. If the calculator is in degree mode the functions automatically assume that numbers they are given are in degrees if it is in radian mode the functions automatically assume that numbers they are given are in radians. The current angle mode setting is indicated on the calculators display by one of the indicators described below. Graphmatica is a graphing program created by Keith Hertzer, 1 a graduate of the University of California, Berkeley. equations of higher degree by inspecting. The ° symbol means "degrees." Any answer marked with that is definitely in degrees. Have students use technology (graphing calculators, Geometers Sketchpad, Graphmatica. Tan 42.5 radian mode because there is no degree symbol Sec 9π/10 radian mode because there is no degree symbol Sin(-18°) degree mode because there is a degree symbol Round to four decimals places.¨:Ĭos 111.4° degree mode because there is a degree symbol A beautiful, free online scientific calculator with advanced features for evaluating percentages, fractions, exponential functions, logarithms, trigonometry, statistics, and more. The second part says ¨Find the function values. I should mention that for those first 4 problems, I think the point is actually not to use a calculator. Sec 3π radian mode because there is no degree symbol Tan(-45 °) degree mode because there is a degree symbolĬos 5π/2 radian mode because there is no degree symbol Sin 60 ° degree mode because there is a degree symbol In your examples, assuming there are no typos: If there is no degree symbol, then use radian mode. If there is a degree symbol, $^\circ$, then use degree mode. ![]()
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