Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
b) tan² + tan 0-2=0 0≤0<2π

b) tan² + tan 0-2=0 0≤0<2π

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

need help on question b thanks

4. Determine the exact roots of each equation algebraically over the given domain. a) 4 cos² B-1=0 b) tan²0+tan 0-2=0 BER 0≤0<2π
Transcribed Image Text:4. Determine the exact roots of each equation algebraically over the given domain. a) 4 cos² B-1=0 b) tan²0+tan 0-2=0 BER 0≤0<2π
Expert Solution
Step 1

(b)

The given equation is tan2θ+tanθ-2=0

Substitute tanθ=x.

x2+x-2=0

Using the discrimant formula, calculate the value of x.

x=-1±12-41-22x=-1±12+82x=-1±92x=-1±32x=-1+32,-1-32x=22,-42x=1,-2

 

 

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS