In 3954, the polar coordinates of a point are given. Find the rectangular coordinates of each point.
Step 1 of 3
MTH 132 Lecture 9 Trigonometric Derivatives Sine and Cosine addition ● sin(a+b) = sin(a)cos(b)+cos(a)sin(b) ● cos(a+b) = cos(a)cos(b)sin(a)sin(b) Derivative of Sine ● sin(x)’ = cos(x) Sine Proof ● [ sin(x+h) sin(x) ] / h ● [ Sin(x)cos(h) + cos(x)sin(h) sin(x) ] / h ● Cos(x) * sin(h)/h sin(x) * (cos(h) 1)/h ○ [cos(h) 1]/h always = 0 ● Simplify to get cos x as h approaches 0. Cosine Derivative ● cos(x)’ = sinx Cosine Proof ● f(x) = cosx ● f’(x) = limit h approaches 0 [ f(x+h) f(x) ]/ h ● cos(x+h) cos(x) = cos(x)cos(h) sin(x)sin(h) cos(x) ● cos(x)*[cos(h)1]/h sinx*sin(h)/h ● sin^2x+cos^2x = 1 ● (sin^2x+cos^2x )’= 1’ ● (sinx*sinx)’ + (cosx*
Textbook: Precalculus Enhanced with Graphing Utilities
Author: Michael Sullivan
The full step-by-step solution to problem: 41 from chapter: 9.1 was answered by , our top Math solution expert on 01/11/18, 01:38PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 114 chapters, and 8075 solutions. Since the solution to 41 from 9.1 chapter was answered, more than 256 students have viewed the full step-by-step answer. The answer to “In 3954, the polar coordinates of a point are given. Find the rectangular coordinates of each point.” is broken down into a number of easy to follow steps, and 17 words. Precalculus Enhanced with Graphing Utilities was written by and is associated to the ISBN: 9780132854351. This textbook survival guide was created for the textbook: Precalculus Enhanced with Graphing Utilities, edition: 6.