Sinx is not one -one function then why arcsinx exists. [For existence of inverse function the function must be bijective. But in this case ,even if sinx is not one one then also arcsinx exists]

Q: Is sin-1 x the same thing as1/sin x?

A:

Q: Use an inverse trigonometric function to write θ as a function of x.

A:

Q: Use an inverse trigonometric function to write θ as a function of x.

A:

Q: tan(x) – 3 sec(x) Let f(x) = . Find the following:

A:

Q: snip

A: Consider the given function fx=2sin x-1,         -π2≤x≤π2 First solve the function for x y=fx=2sin…

Q: 18 Find the inverse function of F (x) = 2 arccosx F-1(x) = _____ cos2x cos1/2x 2cosx

A:

Q: Using Inverse Functions sec2 x − 2 tan x = 4 Original equation 1 + tan2 x − 2 tan x − 4 = 0…

A: Our Aim is to solve the trigonometric expression using Inverse Functions given below:- sec2 x − 2…

Q: f (x) = sin(tan(x)) %3D

A: Given f(x)=sin(tan(x)) To find the derivative of the function

Q: 2 COS X Let f(x) 1 and g(x) = = 1-sinsin x find the inverse function of f(x) * g(x) sinx+tanx 1+secx

A:

Q: What are the inputs and outputs of an inverse trigonometric function?

A: Firstly we need to understand what is the input and output for a trig functions and then for inverse…

Q: Use an inverse trigonometric function to write 0 as a function of x. 3

A: To express angle in terms of inverse trigonometric ratio.

Q: A trigonometric function has an __________ function only when its domain is restricted.

A: Given :A trigonometric function has an _____ function only when its restricted

Q: Explain why, without restrictions, no trigonometric function has an inverse function.

A: Since trigonometric functions are periodic, Each range value is within the limitless domain value.

Q: (1- sinx)( 1 + cosx, sin°x. cos x

A: To find the n equivalent of the given function

Q: Consider the function f (x) = tan(x) and remember sin(x) cos(x) that tan(x) What is the domain of f?

A:

Q: Determine whether Rolle's Theorem can be applied f(x) = 8 tan x, [0, A] Yes, Rolle's Theorem can be…

A:

Q: Question 6

A: First Differentiate the outer function sin(cos x7) then multiply it with differentiation of inner…

Q: Why are different intervals used when restricting the domains of the sine and cosine functions in…

A: Why are different intervals used when restricting the domains ofthe sine and cosine functions in the…

Q: Cosecant is the reciprocal function for the Sine function. True False

A: Use the following formulae, to define the trigonometric function.…

Q: Use an inverse trigonometric function to write 0 as a function of x. 6.

A: Use inverse trigonometric function

Q: Describe the specific differences between the attributes of y=sin (x) and its reciprocal function…

A: Describe the specific differences between the attributes of y=sin (x) and its reciprocal function…

Q: Give 2 examples on Evaluating Inverse Trig Functions using Sin difference Identities

A: Topic :- trigonometry

Q: True or False If f(x) = sin x and g(x) = cos x, then g(∝+ β) = g(∝)g(β) - f(∝)f(β)

A: The given statement is ''If f(x) = sin x and g(x) = cos x, then g(α + β) = g(α)g(β) -…

Q: Define the Inverse Cosine Function

A: The inverse cosine function is defined as the inverse of the restricted cosine function. y = cos-1x…

Q: sin () if x + 0, COS X Let f : R → R be the function given by f(x) if x = 0. -1

A: The function  f:ℝ→ℝ is defined as follows: fx=sin1xcosx  if  x≠0-1                    if  x=0…

Q: Use an inverse trigonometric function to write 0 as a function of x. 0 = X 2

A:

Q: Gtven 0 = -". Evaluate the 6-Trig functions. Start by drawing the angle in its correct quadrant and…

A:

Q: Use an inverse trigonometric function to write 0 as a function of x.

A: We need to use an inverse trigonometric function to write θ as a function of x.

Q: How are the inverse trigonometric functions defined? How can you sometimes use right triangles to…

A: Inverse trigonometric function:It is defined as that the anti or arcus function of the function is…

Q: Use an inverse trigonometric function to write 0 as a function of x. 8 X+2

A:

Q: Q3/ Discuss the effect of (inverse) on the trigonometric function with an examples ?

A:

Q: )サー cos( sinx)

A: It is given that the function fx=cos-1sinx. The given function is of the form fgx, by using the…

Q: Use an inverse trigonometric function to write 0 as a function of x. X+2

A:

Q: Since the function y=cosx and y = cosx are inverse functions, why is cos cos not equal to 2 Explain…

A: cos(-x) = cos x

Q: Give an example of an angle 0 such that cos- 1(cos 0) # 0 . Does this contradict the definition of…

A:

Q: How are the sine and cosine functions related to the other fourtrigonometric functions?

A: The objective is to show how the sine and cosine functions are related to the other four…

Q: Explain why the domain of the sine function must be restricted in order to define its inverse…

A:

Q: Let 1 f(x) = sin (x) = Let 1 (x)6 sin x '(x) =

A:

Q: Evaluate f' (=") and f" (=") if f(x) = (sin|x|)|tanx

A:

Q: find the derivatives of inverse trigonometric functions

A: "Since, you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The tan function is the same exact function as the tan-1 function O True O False

A: The answer of the above ques is

Q: How is domain of the function f (x) = sin x restricted so that its inverse function exists? Drag a…

A:

Q: Use an inverse trigonometric function to write 0 as a function of x. x +5

A:

Q: (a) Express sin(2 cos-1x) in an algebraic form. Furthermore, sketch this function and find its…

A:

Q: Draw the function F(x)= 2 (sin x - 2) [ 0,2π]

A:

Q: Sin

A:

Q: Find the possible inverse value of sec(arctan x Select all that apply 22 +1 1- z2 x2 1 x2 - 1 口

A:

Q: What is the type of function for f(x)=x'+sin(5x). O Even function Odd function Neither function

A: The given function is  f(x)=x3+sin(5x) ....(1) And are asking to check whether f(x) is even , odd…

Q: the domain and yange of he foilowing what is functions. arc sinx ave casx arc tan X

A: See below the answer

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: