Homework - do as many as you can.

Here's some fun stuff to do over the weekend!

Trig stuff

1.  Consider a right triangle with sides:  5, 12, 13.

a.  Draw this
b.  Find the ratios for sin, cos and tan.  (Remember SOH CAH TOA.)
c.  Use the inverse functions (sin^-1) to find the angles.  You can also use the fact that the angles of a triangle add to 180 degrees, if that is helpful.

2.  Repeat the above exercise, if helpful, for another pythagorean of your choice.  See:

http://en.wikipedia.org/wiki/Pythagorean_triple

3.  Use your calculator to find:

a.  sin 30
b.  sin 0
c.  sin 90
d.  cos 0
e.  cos 90
f.  tan 45

Index of refraction

4.  Describe WHY refraction occurs.

5.  Review the definition of index of refraction.  Review, if helpful:

http://www.physics.uoguelph.ca/applets/Intro_physics/refraction/LightRefract.html

6.  Find the index of refraction of a substance in which the speed of light goes to HALF its value in a vacuum.  (Recall that c = 3 x 10^8 m/s.)

7.  The speed of light in a piece of plastic is 2.5 x 10^8 m/s.  What is its index of refraction?

Snell's Law

8.  Light passes from air (n = 1) to a block of new stuff, with the angle going from 60 degrees outside the block to 35 degrees inside the block.  The angles are measured with respect to a normal (perpendicular) line.

a.  Draw this.
b.  Calculate the index of refraction of the stuff.