![]() 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. In most cases, the standard mode for a scientific calculator is degree mode, but if you frequently change between different forms of angle measurement, then you need to learn how to switch modes. If it's unspecified and a $\pi$ shows up, you should assume radians. Putting your scientific calculator in degree mode is a vital step if youre performing calculations with degrees instead of radians or grads. 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. The technically correct thing to do is to assume that everything is in radians unless otherwise specified. The ° symbol means "degrees." Any answer marked with that is definitely in degrees. Tan 42.5 radian mode because there is no degree symbol B) Sketch this function (you may use Graphmatica if you wish). Sec 9π/10 radian mode because there is no degree symbol At a certain instant of time, the angle A of a triangle ABC is 60 degrees and increasing. 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 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. After one month, non-commercial users are. Graphmatica for Windows and Macs is distributed free of charge for evaluation purposes. While most angle-related functions in the Wolfram Language take radian measures as their arguments and return radian measures as results, the symbol Degree can be used as a multiplier when entering values in degree measures (e.g. It runs on Microsoft Windows (all versions), Mac OS X 10.5 and higher, and iOS 5.0 and higher. The use of Degree is especially common in calculations involving plane geometry and trigonometry. Sec 3π radian mode because there is no degree symbol Graphmatica is a graphing program created by Keith Hertzer, 1 a graduate of the University of California, Berkeley. 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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