 98.1: Liam said that if 0 ,u,90,then when the degree measure of a fourth...
 98.2: Sammy said that if a negative value is entered for sin1,cos1,or tan...
 98.3: In 37, for each angle with the given degree measure: a. Draw the an...
 98.4: In 37, for each angle with the given degree measure: a. Draw the an...
 98.5: In 37, for each angle with the given degree measure: a. Draw the an...
 98.6: In 37, for each angle with the given degree measure: a. Draw the an...
 98.7: In 37, for each angle with the given degree measure: a. Draw the an...
 98.8: In 817,for each angle with the given degree measure,find the measur...
 98.9: In 817,for each angle with the given degree measure,find the measur...
 98.10: In 817,for each angle with the given degree measure,find the measur...
 98.11: In 817,for each angle with the given degree measure,find the measur...
 98.12: In 817,for each angle with the given degree measure,find the measur...
 98.13: In 817,for each angle with the given degree measure,find the measur...
 98.14: In 817,for each angle with the given degree measure,find the measur...
 98.15: In 817,for each angle with the given degree measure,find the measur...
 98.16: In 817,for each angle with the given degree measure,find the measur...
 98.17: In 817,for each angle with the given degree measure,find the measur...
 98.18: In 1827, express each given function value in terms of a function v...
 98.19: In 1827, express each given function value in terms of a function v...
 98.20: In 1827, express each given function value in terms of a function v...
 98.21: In 1827, express each given function value in terms of a function v...
 98.22: In 1827, express each given function value in terms of a function v...
 98.23: In 1827, express each given function value in terms of a function v...
 98.24: In 1827, express each given function value in terms of a function v...
 98.25: In 1827, express each given function value in terms of a function v...
 98.26: In 1827, express each given function value in terms of a function v...
 98.27: In 1827, express each given function value in terms of a function v...
 98.28: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.29: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.30: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.31: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.32: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.33: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.34: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.35: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.36: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.37: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.38: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.39: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.40: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.41: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.42: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
 98.43: In 2843,for each function value,if 0 u,360,find,to the nearest degr...
Solutions for Chapter 98: REFERENCE ANGLES AND THE CALCULATOR
Full solutions for Amsco's Algebra 2 and Trigonometry  1st Edition
ISBN: 9781567657029
Solutions for Chapter 98: REFERENCE ANGLES AND THE CALCULATOR
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Amsco's Algebra 2 and Trigonometry, edition: 1. Amsco's Algebra 2 and Trigonometry was written by and is associated to the ISBN: 9781567657029. Since 43 problems in chapter 98: REFERENCE ANGLES AND THE CALCULATOR have been answered, more than 30879 students have viewed full stepbystep solutions from this chapter. Chapter 98: REFERENCE ANGLES AND THE CALCULATOR includes 43 full stepbystep solutions.

Augmented matrix [A b].
Ax = b is solvable when b is in the column space of A; then [A b] has the same rank as A. Elimination on [A b] keeps equations correct.

Block matrix.
A matrix can be partitioned into matrix blocks, by cuts between rows and/or between columns. Block multiplication ofAB is allowed if the block shapes permit.

Characteristic equation det(A  AI) = O.
The n roots are the eigenvalues of A.

Companion matrix.
Put CI, ... ,Cn in row n and put n  1 ones just above the main diagonal. Then det(A  AI) = ±(CI + c2A + C3A 2 + .•. + cnA nl  An).

Condition number
cond(A) = c(A) = IIAIlIIAIII = amaxlamin. In Ax = b, the relative change Ilox III Ilx II is less than cond(A) times the relative change Ilob III lib II· Condition numbers measure the sensitivity of the output to change in the input.

Cross product u xv in R3:
Vector perpendicular to u and v, length Ilullllvlll sin el = area of parallelogram, u x v = "determinant" of [i j k; UI U2 U3; VI V2 V3].

Diagonal matrix D.
dij = 0 if i # j. Blockdiagonal: zero outside square blocks Du.

Eigenvalue A and eigenvector x.
Ax = AX with x#O so det(A  AI) = o.

Hankel matrix H.
Constant along each antidiagonal; hij depends on i + j.

Hessenberg matrix H.
Triangular matrix with one extra nonzero adjacent diagonal.

Hilbert matrix hilb(n).
Entries HU = 1/(i + j 1) = Jd X i 1 xj1dx. Positive definite but extremely small Amin and large condition number: H is illconditioned.

Incidence matrix of a directed graph.
The m by n edgenode incidence matrix has a row for each edge (node i to node j), with entries 1 and 1 in columns i and j .

Inverse matrix AI.
Square matrix with AI A = I and AAl = I. No inverse if det A = 0 and rank(A) < n and Ax = 0 for a nonzero vector x. The inverses of AB and AT are B1 AI and (AI)T. Cofactor formula (Al)ij = Cji! detA.

Multiplication Ax
= Xl (column 1) + ... + xn(column n) = combination of columns.

Nullspace matrix N.
The columns of N are the n  r special solutions to As = O.

Reduced row echelon form R = rref(A).
Pivots = 1; zeros above and below pivots; the r nonzero rows of R give a basis for the row space of A.

Toeplitz matrix.
Constant down each diagonal = timeinvariant (shiftinvariant) filter.

Transpose matrix AT.
Entries AL = Ajj. AT is n by In, AT A is square, symmetric, positive semidefinite. The transposes of AB and AI are BT AT and (AT)I.

Unitary matrix UH = U T = UI.
Orthonormal columns (complex analog of Q).

Vector space V.
Set of vectors such that all combinations cv + d w remain within V. Eight required rules are given in Section 3.1 for scalars c, d and vectors v, w.