Trig Unit 3
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
