Practice problems similar to take home

a) Rewrite cos^4(alpha) - sin^4(alpha) in a simpler form with lower powers of the trig functions

b) let cosgamma = 5/7 find
singamma
tangamma
cos(½gamma)
sin(½gamma)
tan(½gamma)
cos(2gamma)
sin(2gamma)
tan(2gamma)

c) The sides of a triangle are A = 5, B = 5 and C = 8.

Find the area.
Find the approximate value of alpha in degrees, rounded to four places after the decimal.
Find the approximate value of beta in degrees, rounded to four places after the decimal.
Find the approximate value of gamma in degrees, rounded to four places after the decimal.
Find the height if A is the base.
Find the height if B is the base.
Find the height if C is the base.

d) A = 6, B = 7, beta = 90° Find sinalpha and alpha written in degrees rounded four places after the decimal.

Answers in the comments.

Practice problems for Homework 10

Find the high point and low point surrounding the median point closest to (0, 0) for the following trig functions.

f(x) = 6sinx - 8cosx

g(x) = 2sinx - 4cosx

Here are three points on the unit circle in the complex plane.  Multiplying two points of the form costheta + isintheta and cosiota+isiniota gives us the values for the angle theta + iota.

a = 1/5 + i2sqrt(6)/5
b = 2/5 + isqrt(21)/5

ab =

a² =
a³ =

Answers in the comments.