How can I refresh my memory on trigonometry for AP Physics?

  • Thread starter Thread starter jessicag
  • Start date Start date
AI Thread Summary
To refresh trigonometry knowledge for AP Physics, understanding the definitions of sine and cosine in right triangles is essential. The sine of an angle is the ratio of the opposite side to the hypotenuse, while the cosine is the ratio of the adjacent side to the hypotenuse. For the given problems, using these definitions allows for calculating the lengths of the sides of a triangle when one angle and the hypotenuse are known. Specifically, for a 26-degree angle with a hypotenuse of 11 cm, the opposite side can be found by multiplying 11 by the sine of 26 degrees, and the adjacent side by multiplying 11 by the cosine of 26 degrees. Mastering these concepts will aid in successfully tackling AP Physics challenges.
jessicag
Well i just got into ap physics.Its my senior year and my counsler thinks i should and can take it. I haven't even taken trig yet. It wouldn't work out with my schedule to take both. So i picked physics. Now that you know my story I would like some help to refresh my memory on stuff,
directions say:find the angles associated with the trig. equations below.
a.)sin. angle=.0872. i got .0015 but don't know if its right. and another question.
4.)one angle of a right triangle is 26 degrees.The hypotenuse is 11 cm. Calculate the lengths of the other two sides.(i have know idea what to do on this one) i would appriecate the help thank you ~~~~
 
Mathematics news on Phys.org
Well the second one is based on the definitions of sine and cosine. In a right triangle either one of the smaller two angles is made by the hypothenuse (the longest side) meeting one of the other sides. The shorter side is called the adjacent side of that angle. The third side of the triangle is called the opposite side for that angle. So now the sine of the angle is the opposite side divided by the hypontenuse. And the cosine of that angle is the adjactent side divided by the hypotenuse.

So in your problem you have sine (26o) = opp side/11
and cosine (26o} = adj side/11.

Or opp side = 11 times sine(26o),
adj side = 11 times cosine (26o)

Think you can take it from there?
 
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...
Thread 'Imaginary Pythagorus'
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...
Back
Top