A geometry problem by A Former Brilliant Member
What is the cosine of 370°?
The answer is 0.985.
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1 solution
How did you find cos 1 0 0
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By Calculator ;)
@Manish Mayank , Either it can be found out by Log Tables or I can tell u a way to find the approximate value...In this question I filled the value 1...and got the right answer..Here's why!
Just remember, value of cos θ ≈ 1 , w h e n θ ≪ 1 and θ is in radian
In this case, θ = 1 0 ∘ = π / 1 8 = 3 . 1 4 / 1 8 ≈ 0 . 1 7 7 7 , which is very very less than 1
Thus the answer is 1. Hope it is clear:)
cos 10 is not 0.985
You have got this question From mathisfun.com if I am not too wrong?
370° is greater than 360° so let us subtract 360°
370° − 360° = 10°
cos(370°) = cos(10°) = 0.985 (to 3 decimal places)