If sin θ = x

Then putting sin on the right side

  θ = sin -1 x

  sin -1 x = θ

 

So, inverse of sin is an angle.

 

Similarly, inverse of all the trigonometry function is angle.

 

Note : Here angle is measured in radians, not degrees.

 

So, we have

  sin -1 x

  cos -1 x

  tan -1 x

  cosec -1 x

  sec -1 x

  tan -1 x


Let’s take an example

 

We know that

  sin 30° = ½

Writing angle in radians

  sin π/6 = ½

  π/6 = sin -1 ½

  sin -1 ½ = π/6

  1. Chapter 2 Class 12 Inverse Trigonometric Functions
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.