Log In Start studying!

Select your language

Suggested languages for you:

Deutsch (DE)

Deutsch (UK)

Deutsch (US)

Americas

English (US)

Europe

Q. 65

Expert-verified

Precalculus Enhanced with Graphing Utilities

Found in: Page 531

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

What do you do first if you are asked to solve a triangle and are given two sides and the angle opposite one of them?

The first thing you do is use the Law of Sines to determine whether the given parameters

form one, two, or no triangles.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

When solving a triangle, determine what's the first thing you do when given two sides and

one angle.

Step 2. Answer to the problem

When given two sides and one angle, the first thing you do when solving a triangle is use the Law of Sines to determine whether the given parameters form one, two, or no triangles.

Most popular questions for Math Textbooks

Determine the domain of the function

$f (x) = \sqrt{x^{2} - 3 x - 4}$

Finding the Height of an Airplane An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observer takes a

sighting of the angle of elevation to the plane, as indicated in the figure. How high is the airplane?

Mollweide’s Formula For any triangle, Mollweide’s Formula (named after Karl Mollweide, 1774–1825) states that $\frac{a + b}{c} = \frac{\cos [\frac{1}{2} (A - B)]}{\sin (\frac{1}{2} C)}$

Derive it.

[Hint: Use the Law of Sines and then a Sum-to-Product Formula. Notice that this formula involves all six parts of a triangle. As a result, it is sometimes used to check the solution of a triangle.]

The displacement d (in meters) of an object at time t (in seconds) is given as $d = 5 \sin (3 t)$

(a) Describe the motion of the object.

(b) What is the maximum displacement from its resting position?

(c) What is the time required for one oscillation?

(d) What is the frequency?

If one side and two angles of a triangle are given, the Law of _______ is used to solve the triangle .

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free

Find Study Materials for

Create Study Materials

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

What do you do first if you are asked to solve a triangle and are given two sides and the angle opposite one of them?

Step by Step Solution

Step 1. Given Information

Step 2. Answer to the problem

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

What do you do first if you are asked to solve a triangle and are given two sides and the angle opposite one of them?

Step by Step Solution

Step 1. Given Information

Step 2. Answer to the problem

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths