MHB Could you help me set up these geometric problems?

  • Thread starter Thread starter xyz_1965
  • Start date Start date
  • Tags Tags
    Ac
xyz_1965
Messages
73
Reaction score
0
Right triangle ABC is given with angles A, B, and C, where angle C is 90 degrees. Angle A is 60° and side AB = 12 cm. Find sides AC and BC.

Here is the set up.

To find AC:

cos (60°) = AC/12

To find BC:

sin (60°) = BC/12

Is this correct?
 
Mathematics news on Phys.org
Yes. With the usual notation, AB is the side opposite C, the right angle, so is the hypotenuse. Since you are given angle A, AC is the "near side" and BC is the "opposite side". cos(A) is "near side over hypotenuse" and sin(A) is "opposite side over hypotenuse".

Hopefully, you will soon have enough confidence in yourself that you won't need to ask questions like these!
 
Country Boy said:
Yes. With the usual notation, AB is the side opposite C, the right angle, so is the hypotenuse. Since you are given angle A, AC is the "near side" and BC is the "opposite side". cos(A) is "near side over hypotenuse" and sin(A) is "opposite side over hypotenuse".

Hopefully, you will soon have enough confidence in yourself that you won't need to ask questions like these!

I hope to get there soon. I found a few questions that I am stuck with in terms of a geometric figure. I will post each question later. I simply need help setting it up. If you can provide me with a picture, a visual of the situation, that would be so cool and helpful.
 
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...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
Back
Top