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How can we find value of sin -1 (sinx) and cos -1 (cosx) value logically without the graph?

How can we find value of sin-1 (sinx) and cos-1 (cosx) value logically without the graph?

Grade:12

2 Answers

Arun
25768 Points
2 years ago
Dear student
 
Just remember
In Sin^-1 ( sinx) 
x should be [-pi/2, pi/2]
While
In
Cos^-1 (cosx)
X should be [0, pi]
Sounak Dutta
10 Points
2 years ago
Sin-¹(sinx) range of this functin is (-pi/2,pi/2) and cos-¹(cosx) range is (0,pi/2) hence x=(-pi/2,pi/2)U(0,pi)

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