![]() ![]() 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. 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 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 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. A mode finder would highlight two modes at the numbers two and five.If there is a degree symbol, $^\circ$, then use degree mode. Here is an example of a bimodal distribution of numbers: A set with two modes is called bimodal, a set with more than two modes is called multimodal. The highest count is the mode.Ī complication arises if there are two or more equal counts in which case there can be two or more modes.
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