inverse Trigonometric functions
In trigonometry, if an angle is given then using any of the 6 trigonometric functions we find its trigonometric function value. But if the trigonometric function value is given, then finding the angle (working backwards) using a function is called Inverse trigonometric function.
Example:Since “radian” is the standard unit for angle measure, we know:
The above example shows that inverse trigonometric functions are called as: arcsine(x), arccos(x), arctan(x), arccsc(x), arcsec(x), arccot(x). Here ‘x’ is the value of the function and inverse is used to find the angle measure!
1) What is arcsin(0)? -> ‘0’ since sin(0) = 0
2) arctan(θ) = p if and only if tan(p) = θ
3) arccsc(u) = m -> csc(m) = u
Example: Evaluate the smallest angle measure for arctan(-1/√3)
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