What is the formula for isolating b in the law of sines?

  • Thread starter Thread starter bobsmith76
  • Start date Start date
  • Tags Tags
    Law Law of sines
AI Thread Summary
The discussion focuses on isolating variable b in the law of sines formula, represented as sin α/a = sin β/b. One participant derives b as b = α sin β/sin α, while another suggests multiplying both sides by 1/sin β to arrive at b = sin α/(a sin β). This leads to the equation sin α/(a sin β) = 1/b, indicating a different approach to isolating b. The conversation highlights the variations in manipulating the law of sines to isolate specific variables. Ultimately, the formula for b can be expressed in multiple ways depending on the manipulation of the original equation.
bobsmith76
Messages
336
Reaction score
0
sin α/a = sin β/b

when my isolates b they get

b = α sin β/sinα

I would think to isolate b you would multiply both sides by 1/sinβ which would make

b = sin α/ a sin β
 
Mathematics news on Phys.org
Take sin α/a = sin β/b.

Multiply both sides by 1/sinβ and you get

sin α / (a sin β) = 1/b.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »
Thread 'Imaginary Pythagoras'

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

B Cosine or Sine of (angle+angle) always equal to 1?
Replies
4
Views
2K
Finding the value of A and B (Another problem)
Replies
27
Views
2K
B Sine Multiplication
Replies
5
Views
2K
B Is the intersection of two planes a line?
Replies
9
Views
2K
B Analysis of Simple Pendulum Motion
Replies
2
Views
856
Mixed intrinsic and extrinsic angles in 3D rotations
Replies
1
Views
2K
B How is it that law of sines does not work in this exercise?
2
Replies
70
Views
5K
Law of sines.... I don't get it
Replies
5
Views
2K
I Determine ## \beta ## as a function of ##\theta## linkage
Replies
2
Views
2K
A Sine Dipole formation using two hydrophones
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top