Unit 6 Pre calc

Question 1

what are tan and cot in terms of sin and cos

Answer 1

sin/cos
cos/sin

Question 2

What are the three pythagorean identities

Answer 2

sin^2 + cos^2 = 1
tan^2 + 1 = sec^2
cot^2 + 1 = csc^2

Question 3

What are the cofunction identities

Answer 3

sinx = cos(pi/2 - x)
cscx = sec(pi/2 - x)
tanx = cot(pi/2 - x)
cosx = sin(pi/2 -x)
secx = csc(pi/2 -x)
cotx = tanx(pi/2 -x)

Question 4

What are the Even-Odd Identities

Answer 4

sin(-x) = -sinx
cos(-x) = cosx
tan(-x) = -tanx
csc(-x) = -cscx
sec(-x) = secx
cot(-x) = -cotx

Question 5

What are the Sum of Angles Identities for sin and cos

Answer 5

sin(A+B) = SinACosB + CosASinB
cos(A+B) = CosACosB - SinASinB

Question 6

What are the Difference of Angles Identities for sin and cos

Answer 6

sin(A-B) = SinACosB - CosASinB
cos(A-B) = CosACosB + SinASinB

Question 7

What are the Double-Angle Identities for sin and cos

Answer 7

Sin2x = 2sinxCosx
Cos2x = cos^2x - sin^2x
Cos2x = 1-2sin^2x
Cos2x=2cos^2x - 1

Question 8

In this study guide x = theta

Answer 8

x = theta