Check sibling questions

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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.