chapter10Problems

chapter10Problems - Chapter 10 Trigonometric functions 10.1...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 10 Trigonometric functions 10.1 Calculate the first derivative for the following functions. (a) y = sin x 2 (b) y = sin 2 x (c) y = cot 2 3 x (d) y = sec( x- 3 x 2 ) (e) y = 2 x 3 tan x (f) y = x cos x (g) y = x cos x (h) y = e- sin 2 1 x (i) y = (2 tan3 x + 3 cos x ) 2 (j) y = cos(sin x ) + cos x sin x 10.2 Take the derivative of the following functions. (a) f ( x ) = cos(ln( x 4 + 5 x 2 + 3)) (b) f ( x ) = sin( radicalbig cos 2 ( x ) + x 3 ) (c) f ( x ) = 2 x 3 + log 3 ( x ) (d) f ( x ) = ( x 2 e x + tan(3 x )) 4 (e) f ( x ) = x 2 radicalbig sin 3 ( x ) + cos 3 ( x ) v.2005.1 - September 4, 2009 1 Math 102 Problems Chapter 10 10.3 Convert the following expressions in radians to degrees: (a) (b) 5 / 3 (c) 21 / 23 (d) 24 Convert the following expressions in degrees to radians: (e) 100 o (f) 8 o (g) 450 o (h) 90 o Using a Pythagorean triangle, evaluate each of the following: (i) cos( / 3) (j) sin( / 4) (k) tan( / 6) 10.4 Graph the following functions over the indicated ranges: (a) y = x sin( x ) for- 2 < x < 2 (b) y = e x cos( x ) for 0 < x < 4 . 10.5 Sketch the graph for each of the following functions: (a) y = 1 2 sin 3( x- 4 ) (b) y = 2- sin x (c) y = 3 cos 2 x (d) y = 2 cos( 1 2 x + 4 ) 10.6 The Radian is an important unit associated with angles. One revolution about a circle is equivalent to 360 degrees or 2 radians. Convert the following angles (in degrees) to angles in radians. (Express these as multiples of , not as decimal expansions): (a) 45 degrees (b) 30 degrees (c) 60 degrees (d) 270 degrees. Find the sine and the cosine of each of these angles. v.2005.1 - September 4, 2009 2 Math 102 Problems Chapter 10 10.7 A point is moving on the perimeter of a circle of radius 1 at the rate of 0.1 radians per second. How fast is its x coordinate changing when x = 0 . 5? How fast is its y coordinate changing at that time? 10.8 The derivatives of the two important trig functions are [sin( x )] prime = cos( x ) and [cos( x )] prime =- sin( x )....
View Full Document

Page1 / 8

chapter10Problems - Chapter 10 Trigonometric functions 10.1...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online