 6.1.1: Fill in the blanks. An ________ triangle is a triangle that has no ...
 6.1.2: Fill in the blanks. For triangle the Law of Sines is
 6.1.3: Fill in the blanks. Two ________ and one ________ determine a uniqu...
 6.1.4: Fill in the blanks. The area of an oblique triangle is 12 bc sin A ...
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 6.1.39: Finding the Area of a Triangle In Exercises 3946, find the area of ...
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 6.1.47: Height Because of prevailing winds, a tree grew so that it was lean...
 6.1.48: Height A flagpole at a right angle to the horizontal is located on ...
 6.1.49: Angle of Elevation A 10meter utility pole casts a 17meter shadow ...
 6.1.50: Bridge Design A bridge is to be built across a small lake from a ga...
 6.1.51: Flight Path A plane flies 500 kilometers with a bearing of from Nap...
 6.1.52: Locating a Fire The bearing from the Pine Knob fire tower to the Co...
 6.1.53: Distance A boat is sailing due east parallel to the shoreline at a ...
 6.1.54: Altitude The angles of elevation to an airplane from two points and...
 6.1.55: Distance The angles of elevation and to an airplane from the airpor...
 6.1.56: The Leaning Tower of Pisa The Leaning Tower of Pisa in Italy leans ...
 6.1.57: If a triangle contains an obtuse angle, then it must be oblique.
 6.1.58: Two angles and one side of a triangle do not necessarily determine ...
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 6.1.60: Graphical and Numerical Analysis In the figure, and are positive an...
 6.1.61: Graphical Analysis (a) Write the area of the shaded region in the f...
 6.1.62: HOW DO YOU SEE IT? In the figure, a triangle is to be formed by dra...
Solutions for Chapter 6.1: Law of Sines
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter 6.1: Law of Sines
Get Full SolutionsSince 62 problems in chapter 6.1: Law of Sines have been answered, more than 33798 students have viewed full stepbystep solutions from this chapter. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. Chapter 6.1: Law of Sines includes 62 full stepbystep solutions.

Addition principle of probability.
P(A or B) = P(A) + P(B)  P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

Cube root
nth root, where n = 3 (see Principal nth root),

Elements of a matrix
See Matrix element.

Equivalent vectors
Vectors with the same magnitude and direction.

Finite series
Sum of a finite number of terms.

Inequality
A statement that compares two quantities using an inequality symbol

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

Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Pythagorean identities
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Rectangular coordinate system
See Cartesian coordinate system.

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

Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive xaxis

System
A set of equations or inequalities.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.