Explaining steps in simplification

  • Thread starter Thread starter exequor
  • Start date Start date
AI Thread Summary
The discussion revolves around clarifying the missing steps in a mathematical expression related to simplification. A participant points out a mistake in the lines, specifically noting that setting "theta" to 15 results in an incorrect equation. Another contributor explains that the transformation from the second to the third line involves the sine summation formula. The focus is on understanding the correct application of identities to achieve the desired simplification. Overall, the conversation emphasizes the importance of accurate calculations and clear explanations in mathematical transformations.
exequor
Messages
393
Reaction score
0
can someone explain to me the stages that are missing in the expression in the attached picture. i think that it has to do with identities but in the book that i got it from did not explain clearly how they went from one line to another. i will appreciate the help very much. all i am trying to do is to understand how to go from one line to the other.
 

Attachments

  • physicsexp.gif
    physicsexp.gif
    1.6 KB · Views: 519
Mathematics news on Phys.org
No wonder you're stuck; the lines contain a mistake. (Setting "theta"=15 in the last line yields 1.1=sin30)
The transformation of the righthand sides in line 2 to 3 is the sine summation formula
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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 »

Thread 'Fermat's Last Theorem'

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...
View full post »

Similar threads

I Why is (a+b)/2 not recommended in the Bisection method?
Replies
6
Views
1K
B Periodic spiral graph interpretation
Replies
17
Views
2K
I A question about a small step in the proof of RSA encryption
Replies
2
Views
1K
B Cartesian Space vs. Euclidean Space
Replies
10
Views
2K
A How Does Non-Euclidean Geometry Differ from Euclid's Postulates?
Replies
3
Views
2K
I Time dependent Schrödinger equation - Separable Solutions
Replies
12
Views
1K
MHB Identifying Celestial Pole in Photo Taken 02/21/2010
Replies
9
Views
6K
I 10^(1/10) is VERY close to 2^(1/3)
Replies
3
Views
1K
Complex Eigenvalues of system of DE
Replies
3
Views
914
I Am I misapplying something here? (Exponentials; Euler's identity)
Replies
3
Views
250

Hot Threads

Recent Insights

Back
Top