An angle is given to one significant figure as 7 degrees

An angle is given to one significant figure as 7 degrees, meaning thats its value is between 6.5 degrees and 7.5 degrees. Find the corresponding range of possible values of the cosine of the angle. Is this a case in which there are more significant figures in the result than in the input data?

I know the answer to the last question is yes. When I type in $$cos(7)$$ I get 0.9925461516. Would I round this up to 1 degree, thus its range of values is between 0.5 degrees and 1.5 degrees?

thanks

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