 8.1.1: In Exercises 16, classify each triangle problem as AAS, ASA, SAS, S...
 8.1.2: In Exercises 16, classify each triangle problem as AAS, ASA, SAS, S...
 8.1.3: In Exercises 16, classify each triangle problem as AAS, ASA, SAS, S...
 8.1.4: In Exercises 16, classify each triangle problem as AAS, ASA, SAS, S...
 8.1.5: In Exercises 16, classify each triangle problem as AAS, ASA, SAS, S...
 8.1.6: In Exercises 16, classify each triangle problem as AAS, ASA, SAS, S...
 8.1.7: In Exercises 716, solve the given triangles.
 8.1.8: In Exercises 716, solve the given triangles.
 8.1.9: In Exercises 716, solve the given triangles.
 8.1.10: In Exercises 716, solve the given triangles.
 8.1.11: In Exercises 716, solve the given triangles.
 8.1.12: In Exercises 716, solve the given triangles.
 8.1.13: In Exercises 716, solve the given triangles.
 8.1.14: In Exercises 716, solve the given triangles.
 8.1.15: In Exercises 716, solve the given triangles.
 8.1.16: In Exercises 716, solve the given triangles.
 8.1.17: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.18: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.19: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.20: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.21: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.22: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.23: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.24: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.25: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.26: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.27: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.28: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.29: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.30: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.31: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.32: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.33: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.34: In Exercises 1734, two sides and an angle are given. Determine whet...
 8.1.35: How long is the wire a?
 8.1.36: How far from the launch pad does the basket touch the ground b?
 8.1.37: A hotair balloon is sighted at the same time by two friends who ar...
 8.1.38: A hotair balloon is sighted at the same time by two friends who ar...
 8.1.39: A tracking station has two telescopes that are 1 mile apart. The te...
 8.1.40: Given the data in Exercise 39, how far is the rocket from telescope B?
 8.1.41: An engineer wants to construct a bridge across a fastmoving river....
 8.1.42: Given the data in Exercise 41, how far is it from point B to the po...
 8.1.43: Two lifeguard chairs, labeled P and Q, are located 400 feet apart. ...
 8.1.44: A rock climbing enthusiast is creating a climbing route rated as 5....
 8.1.45: Two friends playing tennis are both 70 inches tall. After a rather ...
 8.1.46: Shocked by the move Player I made in Exercise 45, Player II is forc...
 8.1.47: (Recall Exercise 73 in Section 6.1 for context.) An expert archer d...
 8.1.48: An archer fires two arrows simultaneously toward the target. The to...
 8.1.49: The 68 split is common in bowling. To make this split, a bowler st...
 8.1.50: A bowler is said to get a strike on the Brooklyn side of the head p...
 8.1.51: Find the length of the forearm from the elbow joint to the muscle a...
 8.1.52: Find the length of the upper arm from the muscle attachment to the ...
 8.1.53: Solve the triangle Solution: Use the Law of Sines to find Let Solve...
 8.1.54: Solve the triangle Solution: Use the Law of Sines to find Let . Sol...
 8.1.55: The Law of Sines applies only to right triangles.
 8.1.56: If you are given two sides and any angle, there is a unique solutio...
 8.1.57: An acute triangle is an oblique triangle.
 8.1.58: An obtuse triangle is an oblique triangle.
 8.1.59: An obtuse triangle is an oblique triangle.
 8.1.60: If is obtuse and , then the situation is
 8.1.61: For any triangle, the following identity is true. It is often used ...
 8.1.62: Use the Law of Sines and trigonometric identities to show that for ...
 8.1.63: Use the Law of Sines to prove that all angles in an equilateral tri...
 8.1.64: Suppose that you have a triangle with side lengths a, b, and c, and...
 8.1.65: For Exercises 6570, let A, B, and C be the lengths of the three sid...
 8.1.66: For Exercises 6570, let A, B, and C be the lengths of the three sid...
 8.1.67: For Exercises 6570, let A, B, and C be the lengths of the three sid...
 8.1.68: For Exercises 6570, let A, B, and C be the lengths of the three sid...
 8.1.69: For Exercises 6570, let A, B, and C be the lengths of the three sid...
 8.1.70: For Exercises 6570, let A, B, and C be the lengths of the three sid...
Solutions for Chapter 8.1: Oblique Triangles and the Law of Sines
Full solutions for Algebra and Trigonometry,  3rd Edition
ISBN: 9780840068132
Solutions for Chapter 8.1: Oblique Triangles and the Law of Sines
Get Full SolutionsThis textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8.1: Oblique Triangles and the Law of Sines includes 70 full stepbystep solutions. Since 70 problems in chapter 8.1: Oblique Triangles and the Law of Sines have been answered, more than 44956 students have viewed full stepbystep solutions from this chapter.

Angle
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

Cofunction identity
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Hyperbola
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

Logarithm
An expression of the form logb x (see Logarithmic function)

LRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the lefthand endpoint of each subinterval

Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

Multiplicative inverse of a matrix
See Inverse of a matrix

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

Negative numbers
Real numbers shown to the left of the origin on a number line.

Perihelion
The closest point to the Sun in a planet’s orbit.

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)

Radicand
See Radical.

Reexpression of data
A transformation of a data set.

Remainder polynomial
See Division algorithm for polynomials.

Right triangle
A triangle with a 90° angle.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

Vertex of a cone
See Right circular cone.