 3.6.1: Determine the sign (+ or ) that yields the correct formula for the ...
 3.6.2: Which of the following functions can be differentiated using the ru...
 3.6.3: Compute d dx (sin2 x + cos2 x) without using the derivative formula...
 3.6.4: How is the addition formula used in deriving the formula (sin x) = ...
 3.6.5: In Exercises 524, compute the derivative. f (x) = sin x cos x
 3.6.6: In Exercises 524, compute the derivative. f (x) = x2 cos x
 3.6.7: In Exercises 524, compute the derivative. f (x) = sin2 x
 3.6.8: In Exercises 524, compute the derivative. f (x) = 9 sec x + 12 cot x
 3.6.9: In Exercises 524, compute the derivative. H (t) = sin t sec2 t
 3.6.10: In Exercises 524, compute the derivative. h(t) = 9 csc t + t cot t
 3.6.11: In Exercises 524, compute the derivative. f ( ) = tan sec
 3.6.12: In Exercises 524, compute the derivative. k( ) = 2 sin2
 3.6.13: In Exercises 524, compute the derivative. f (x) = (2x4 4x1)sec x
 3.6.14: In Exercises 524, compute the derivative. f (z) = z tan z
 3.6.15: In Exercises 524, compute the derivative. y = sec
 3.6.16: In Exercises 524, compute the derivative. G(z) = 1 tan z cot z
 3.6.17: In Exercises 524, compute the derivative. R(y) = 3 cos y 4 sin y
 3.6.18: In Exercises 524, compute the derivative. f (x) = x sin x + 2
 3.6.19: In Exercises 524, compute the derivative. f (x) = 1 + tan x 1 tan x
 3.6.20: In Exercises 524, compute the derivative. f ( ) = tan sec
 3.6.21: In Exercises 524, compute the derivative. f (x) = ex sin x
 3.6.22: In Exercises 524, compute the derivative. h(t) = et csc t
 3.6.23: In Exercises 524, compute the derivative. f ( ) = e (5 sin 4 tan )
 3.6.24: In Exercises 524, compute the derivative. f (x) = xex cos x
 3.6.25: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.26: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.27: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.28: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.29: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.30: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.31: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.32: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.33: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.34: In Exercises 2534, find an equation of the tangent line at the poin...
 3.6.35: In Exercises 3537, use Theorem 1 to verify the formula. d dx cot x ...
 3.6.36: In Exercises 3537, use Theorem 1 to verify the formula. d dx sec x ...
 3.6.37: In Exercises 3537, use Theorem 1 to verify the formula. d dx csc x ...
 3.6.38: Show that both y = sin x and y = cos x satisfy y = y. I
 3.6.39: In Exercises 3942, calculate the higher derivative. f ( ), f ( ) = ...
 3.6.40: In Exercises 3942, calculate the higher derivative. d2 dt2 cos2 t
 3.6.41: In Exercises 3942, calculate the higher derivative. y, y, y = tan x...
 3.6.42: In Exercises 3942, calculate the higher derivative. y, y, y = et si...
 3.6.43: Calculate the first five derivatives of f (x) = cos x. Then determi...
 3.6.44: Find y(157), where y = sin x.
 3.6.45: Find the values of x between 0 and 2 where the tangent line to the ...
 3.6.46: Plot the graph f ( ) = sec + csc over [0, 2] and determine the numb...
 3.6.47: Let g(t) = t sin t. (a) Plot the graph of g with a graphing utility...
 3.6.48: Let f (x) = (sin x)/x for x = 0 and f (0) = 1. (a) Plot f on [3, 3]...
 3.6.49: Show that no tangent line to the graph of f (x) = tan x has zero sl...
 3.6.50: The height at time t (in seconds) of a mass, oscillating at the end...
 3.6.51: The horizontal range R of a projectile launched from ground level a...
 3.6.52: Show that if 2 <<, then the distance along the xaxis between and t...
 3.6.53: Use the limit definition of the derivative and the addition law for...
 3.6.54: Use the addition formula for the tangent tan(x + h) = tan x + tan h...
 3.6.55: Verify the following identity and use it to give another proof of t...
 3.6.56: Show that a nonzero polynomial function y = f (x) cannot satisfy th...
 3.6.57: Let f (x) = x sin x and g(x) = x cos x. (a) Show that f (x) = g(x) ...
 3.6.58: Figure 5 shows the geometry behind the derivative formula (sin ) = ...
Solutions for Chapter 3.6: Trigonometric Functions
Full solutions for Calculus: Early Transcendentals  3rd Edition
ISBN: 9781464114885
Solutions for Chapter 3.6: Trigonometric Functions
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Since 58 problems in chapter 3.6: Trigonometric Functions have been answered, more than 13865 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals was written by Patricia and is associated to the ISBN: 9781464114885. Chapter 3.6: Trigonometric Functions includes 58 full stepbystep solutions.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Compound interest
Interest that becomes part of the investment

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Index
See Radical.

Leading term
See Polynomial function in x.

Leastsquares line
See Linear regression line.

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Permutation
An arrangement of elements of a set, in which order is important.

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

Projectile motion
The movement of an object that is subject only to the force of gravity

Spiral of Archimedes
The graph of the polar curve.

Standard form: equation of a circle
(x  h)2 + (y  k2) = r 2

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i

Terms of a sequence
The range elements of a sequence.

Variation
See Power function.
I don't want to reset my password
Need help? Contact support
Having trouble accessing your account? Let us help you, contact support at +1(510) 9441054 or support@studysoup.com
Forgot password? Reset it here