6.1 Material
This is what
1/secx
equals
What is cosx?
This is what cos(a+b) is equal to
What is cos(a)cos(b)-sin(a)sin(b)?
This is the power reducing formula for
tan^2x
What is
tan^2(x)=(1-cos2x)/(1+cos2x)
This is the product-to-sum rule for sin(a)cos(b)
What is
1/2(sin(a+b))+1/2(sin(a-b))
This is every angle where this statement is true.
sin2x=sinx
What is
x=0+2npi
These are the three pythagorean identities equal to 1.
What are
sin^2x+cos^2x=1, csc^2x-cot^2x=1, and sec^2x-tan^x=1?
This is what
(1-cos(2x))/(1+cos(2x)
is equal to
What is tan^2(x)?
This is what sin(2x), cos(2x), and tan(2x) are equal to.
What is
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x = 2cos^2x-1 = 1-2in^2x
tan2x=(2tanx)/(1-tan^2x)
This is the only rule for sum-to-products that has a -2 in it.
What is
cosa - cosb = -2sin((a+b)/2)sin((a-b)/2)
This is all values when (tanx - 1)(cosx + 1) = 0. [0,2pi)
What is,
x = pi/4 and 5pi/4, and x=pi
This is the proof that
1 + cos^2x=sin^2x+2cos^2x
Proofs are provided by students
Verify that
cos(x-pi/2)=sinx
Proof provided by students
Verify that
sin^2x+cos2x=cos^2x
Proof provided by students.
This is the exppression of the sum of
sin9x+sin5x
as a product
What is
2sin7xcos2x
This is when tan(x) + 1 = 2 from
[0,2pi)
What is pi/4 and 5pi/4