Domain and Range of Basic Inverse Trigonometric Functions. Question. The equation sin − 1 x − cos − 1 x = cos − 1 (√ 3 2) has
Step by step video & image solution for If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and [.] denotes the greatest integer function, then complete set of values of x is - (A) (cos1 ,1) (B) (-1, cos1) (C) (sin1 , 1) (D) (cos1 , sin1) by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.
Examples on Derivative of Sin Inverse x. Example 1: Use the derivative of sin inverse x formula to determine the derivative of sin -1 (x 3 ). Solution: The derivative of sin inverse x is 1/√ (1-x 2 ), where -1 < x < 1. To determine the derivative of sin -1 (x 3 ), we will use the chain rule method.
Answer: As we all know cos of any angle is defined as the ratio of base to the hypotenuse. cos -1 is basically the inverse of cos x. cos inverse is denoted by cos -1 (Base/Hypotenuse). It should be noted inverse of cosine is not the reciprocal of cosine. The inverse of this function is also known as arc cosine or written as acos.
First of all, note that implicitly differentiating cos(cos−1x)= x does not prove the existence of the derivative of cos−1 x. What it does show, however, By definition we have that for x ∈ [0,2π] for 0 ≤ x≤ π cos−1 cosx = x for π< x ≤ 2π cos−1 cosx = 2π−x and this is periodic with period T = 2π. Thus itVGfcuh.
sin 1x cos 1x formula
