2 Find the equation of the tangent to the curve y = sin x at the point where x = . 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 22T
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Please answer question number 2,3,4,5,6

Find the equation of the tangent to the curve y =
sin x
at the point where x = :
3
3 You are given the function f(x) = 12 - 3 cos'x, 0 <x<-
2
The value of x is increasing at a rate of 0.6 radians s-.
Find the corresponding rate of change of f(x) when f(x)= 10.
4 a Find the equation of the normal to the curve y = 2tan x – 3 at the point where x=.
b Find the coordinates of the point where the normal intersects the x-axis.
4
5 The diagram shows the curve y= 3 cos 2x.
YA
Given that the shaded area is 1 unit, find the value of a.
y=3 cos 2x
dy
dx
Find the approximate change in the value of y as x increases
a
6 a Given that y= cos 3x, find
4
from
to
=+p, where p is small.
6.
6.
2.
Transcribed Image Text:Find the equation of the tangent to the curve y = sin x at the point where x = : 3 3 You are given the function f(x) = 12 - 3 cos'x, 0 <x<- 2 The value of x is increasing at a rate of 0.6 radians s-. Find the corresponding rate of change of f(x) when f(x)= 10. 4 a Find the equation of the normal to the curve y = 2tan x – 3 at the point where x=. b Find the coordinates of the point where the normal intersects the x-axis. 4 5 The diagram shows the curve y= 3 cos 2x. YA Given that the shaded area is 1 unit, find the value of a. y=3 cos 2x dy dx Find the approximate change in the value of y as x increases a 6 a Given that y= cos 3x, find 4 from to =+p, where p is small. 6. 6. 2.
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