trig identities

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sin^2 x =

(1-cos 2x)/2

tan ^2 x =

(1-cos2x)/(1+cos2x)

tan (s+t)

(tan s + tan t )/ (1-tan s tan t)

tan (s-t)

(tan s - tan t)/(1+ tan s tan t)

What is the inverse sine of -1?

-pi/2

What is the inverse sine of -rad3/2?

-pi/3

What is the inverse tangent of -1?

-pi/4

What is the inverse sine of -1/2?

-pi/6

sin(-x) =

-sinx

tan (-x) =

-tanx

What is the inverse cosine of 1?

0

sin^2x+cos^2x=

1

sec x=

1/cosx

csc x=

1/sinx

cot x=

1/tanx

sin 2x =

2sin x cosx

tan 2x =

2tanx/(1-tan^2 x)

What is the inverse cosine of -rad3/2?

5pi/6

What quadrants for inverse cosine?

I and II

What quadrants for inverse sine?

I and IV

cos (s-t)

cos s cos t + sin s sin t

cos (s+t)

cos s cos t - sin s sin t

sin (pi/2 - u)=

cos u

cos2x =

cos^2 x- sin^2 x; = 1-2sin^2x; = 2 cos^2 x-1

cos (-x) =

cosx

cotx=

cosx/sinx

tan (pi/2-u)

cot u

1+cot^2 x=

csc^2 x

Where is secant undefined?

multiples of pi

Where is tangent undefined?

multiples of pi/2

What is the inverse cosine of -1?

pi

What is the inverse sine of 1?

pi/2

What is the inverse tangent of 1?

pi/4

csc (pi/2 - u)

sec u

tan^2 x+1=

sec^2 x

sin (s+t)

sin s cos t + cos s sin t

sin (s-t)

sin s cos t - cos s sin t

cos (pi/2-u)=

sin u

tan x=

sinx/cosx

cot (pi/2-u)

tan u


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