Class 12 Maths · Chapter 2 · CBSE / NCERT

Inverse Trigonometric Functions

Going from a number back to an angle. You’ll learn the principal values of sin⁻¹, cos⁻¹ and tan⁻¹, their graphs, and how to simplify and solve with them.

14 short lessons · about 59 minutes in all

What you’ll learn

  1. 1Why sine needs a cut before it can be undone4 min
  2. 2Inverse sine: from a number back to an angle4 min
  3. 3Inverse cosine: answers from 0 to π4 min
  4. 4Inverse tangent: any number in, never a right angle out4 min
  5. 5Inverse cotangent: answers between 0 and π4 min
  6. 6Inverse secant: flip the number, then use inverse cosine4 min
  7. 7Inverse cosecant: flip the number, then use inverse sine4 min
  8. 8The graph of an inverse is a mirror image4 min
  9. 9Principal value: the one answer in the stretch4 min
  10. 10When does inverse sine undo sine?4 min
  11. 11Bring the angle into the stretch4 min
  12. 12Simplify by putting x = sin θ5 min
  13. 13Adding inverse angles with right triangles5 min
  14. 14Solving inverse trig equations, then checking5 min

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Why sine needs a cut before it can be undone · about 4 minutes

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