Inverse Trig Properties Flashcards
1
Q
For x within domain
sin-¹ ( - x )
A
-sin-¹(x)
2
Q
For x within domain
cosec-¹ ( - x )
A
-cosec-¹ ( x )
3
Q
For x within domain
tan-¹( - x)
A
-tan-¹(x)
4
Q
For x within domain
cot-¹( - x )
A
π - cot-¹( x )
5
Q
For x within domain
cos-¹( - x )
A
π - cos-¹(x)
6
Q
For x within domain
sec-¹( - x )
A
π - sec-¹(x)
7
Q
Function
sin-¹x
A
Domain
x ∈ [-1,1]
8
Q
Function
cos-¹x
A
Domain
x ∈ [-1,1]
9
Q
Function
A
Domain
10
Q
sin-¹x + cos-¹x =
A
sin-¹x + cos-¹x = π/2
11
Q
If f(x) = f(x + k)
A
Then time period
T = k
12
Q
sin-¹x in terms of cos-¹
A
sin-¹x = cos-¹ √ (1- x²)
13
Q
tan-¹x + cot-¹x =
A
π/2
14
Q
sec-¹x + cosec-¹x =
A
π/2
