Trig Unit 3

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Range of cotangent

(-infinity, infinity)

Range of tangent

(-infinity, infinity)

Domain of inverse secant

(-infinity,-1]U[1,infinity)

Range of cosecant

(-infinity,-1]U[1,infinity)

Range of secant

(-infinity,-1]U[1,infinity)

Domain of inverse cotangent

(-infinity,infinity)

Domain of inverse tangent

(-infinity,infinity)

Domain of restricted tangent

(-pi/2,pi/2)

Range of inverse tangent

(-pi/2,pi/2)

Domain of restricted cotangent

(0,pi)

Range of inverse cotangent

(0,pi)

sin-1(-1)

-pi/2

Where are the horizontal asymtotes in inverse tangent?

-pi/2, pi/2

sin-1(-srt3/2)

-pi/3

tan-1(-srt3)

-pi/3

sin-1(-srt2/2)

-pi/4

tan-1(-1)

-pi/4

sin-1(-1/2)

-pi/6

tan-1(-srt3/3)

-pi/6

cos-1(1)

0

sec-1(1)

0

sin-1(0)

0

tan-1(0)

0

horizontal asymptotes for inverse cotangent

0, pi

cos-1(-1/2)

2pi/3

cot-1(-srt3/3

2pi/3

sec-1(-2)

2pi/3

cos-1(-srt2/2)

3pi/4

cot-1(-1)

3pi/4

sec-1(-srt2)

3pi/4

cos-1(-srt3/2)

5pi/6

cot-1(-srt3)

5pi/6

sec-1(-2srt3/3)

5pi/6

Domain of inverse cosine

[-1,1]

Domain of inverse sine

[-1,1]

Range of cosine

[-1,1]

Range of sine

[-1,1]

Domain of restricted cosecant

[-pi/2,0)U(0,pi/2]

Domain of restricted sine

[-pi/2,pi/2]

Range of inverse sine

[-pi/2,pi/2]

Domain of restricted secant

[0,pi/2)U(pi/2,pi]

Range of inverse secant

[0,pi/2)U(pi/2,pi]

Domain of restricted cosine

[0,pi]

Range of inverse cosine

[0,pi]

cos-1(-1)

pi

sec-1(-1)

pi

Where are the horizontal asymptotes at in inverse secant?

pi/2

cos-1(0)

pi/2

cot-1(0)

pi/2

sin-1(1)

pi/2

cos-1(1/2)

pi/3

cot-1(srt3/3)

pi/3

sec-1(2)

pi/3

sin-1(srt3/2)

pi/3

tan-1(srt3)

pi/3

cos-1(srt2/2)

pi/4

cot-1(1)

pi/4

sec-1(srt2)

pi/4

sin-1(srt2/2)

pi/4

tan-1(1)

pi/4

cos-1(srt3/2)

pi/6

cot-1(srt3)

pi/6

sec-1(2srt3/3)

pi/6

sin-1(1/2)

pi/6

tan-1(srt3/3)

pi/6


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