Show thatCos(arcsin z)1.Notes:1. Cannot use derivative.2. Work from one side to transform to the other side.3. Use a right triangle and the definitions of trig functions.Do work on a piece of paper.

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Answered: Show that Cos(arcsin z) 1. Notes: 1.…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the derivative of y with respect to x without using the formula. Use y instead of to show ha differentiation. Use / for fraction, for exponent, and sqrt to show sin:³¹) Step 1. Rewrite as sin y- y sin Step 2. Draw your right triangle on paper illustrating the equation in Step 1. What algebraic expression determines the third side of the right triangle? Step 3. Differentiate both sides of the equation in Step 1 with respect to x. The derivative of sin y is The derivative ofis Step 4. Now, write y' in terms of x. You should get a fraction. What is the numerator? What is the denominator?
Find the slope of the tangent line to the sine function at the origin. y 2 y= sin(7 x) 1 Compare these values with the number of complete cycles in the interval [0, 2n]. O The slope is half the the number of cycles in the interval. O The slope is twice the number of cycles in the interval. O There is no relationship between slope and number of cycles. O The slope squared gives the number of cycles in the interval. O The slope is equal to the number of cycles in the interval.
9. Fill in the blanks AND give reasons for each step of the calculation. Let y = arctan(r+ e). (This could also be written y = tan- (r + e).) We will find its derivative. First rewrite the equation as tan( using the definition of Now apply the method of to get 윤 tan( On the left side of the equation we use the to get: sec ( Now we solve for to get = This shows that arctan(r+ e") %3D If we want to, we can use trigonometry to write the final answer using only the variable r, but for simplicity we'll leave the answer as it is.
Can I please get some help with this problem?
TOPIC 1: Implicit Differentiation Q. #1 For 2x -y-5= 0, please find dy in two ways: dx a) using implicit differentiation with the function as given b) solving first for y before taking the derivative. Final Answer Final Answer c) By simplifying a bit, you should see that (a) & (b) give same answer. Please briefly explain why. Page 1 of 16
20. X 21 27 45 x X = X = 22. Find the sine, cosine, and tangent of a

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Show that Cos(arcsin z) 1. Notes: 1. Cannot use derivative. 2. Work from one side to transform to the other side. 3. Use a right triangle and the definitions of trig functions. Do work on a piece of paper.