Why do we have to use radians instead of degrees?
Radians are used a lot in A level maths because at higher levels, they allow for simplification of trigonometric functions. For example, when using radians, it can be said that:
Sin(angle) ≈ angle Cos(angle) ≈ 1 - 0.5*angle ≈ 1 Tan(angle) ≈ angle
In degrees for example, it can not be said that sin(30) ≈ 30, because sin(30)=0.5 and so the approximation is way off. But radians are defined in a way that means the above equations can be assumed true, and hence complex mathematical equations can be simplified allowing them to be solved.
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Related Maths A Level answers
All answers ▸a) Find the indefinite integral of sec^2(3x) with respect to x. b) Using integration by parts, or otherwise, find the indefinite integral of x*sec^2(3x) with respect to x.
(19x - 2)/((5 - x)(1 + 6x)) can be expressed as A/(5-x) + B/(1+6x) where A and B are integers. Find A and B
What is a derivative?
The polynomial f(x) is defined by f(x) = 18x^3 + 3x^2 + 28x + 12. Use the Factor Theorem to show that (3x+2) is a factor of f(x).