Hello, ccdalamp!
We're expected to know: .3. Use the addition and subtraction formula to simplify
We have: .
We're also expected to know that: . .and .
Therefore, we have: .
Dad gave me about 50 problems to sharpen my skills for the up coming school year...
Im having a few problems....Please help
1. Find the period of the graph of the equation y=2sin(pi x-3)
2. Find all solutions to the equation cos x=-1
choices
a. x= pi n
b. x= 2pi n
c. x= pi/2+ pi n
d. x= pi + 2 pi n
3. Use the addition and subtraction formula to simplify cos(x+pi)
Ya'll are great thanks
see my first post here
the cosine function hits -1 once in every period. so if we can find one instance where it hits -1, in say, for x in radians, we can just supplement that by adding some constant times to get the value for any other period, since all the -12. Find all solutions to the equation cos x=-1
choices
a. x= pi n
b. x= 2pi n
c. x= pi/2+ pi n
d. x= pi + 2 pi n
s will be a period apart (which is for cos(x))
cos(x) = -1 when x = pi in the period [0,2pi]
thus all solutions can be given by: for an integer. which is choice d