Maths · Class 12 · Chapter 2

Inverse Trigonometric Functions

12 lessons100 min2 simulations

The six trigonometric functions repeat their values, so none of them is one-one on its natural domain and none has an inverse there. This chapter cuts each one down to a single stretch on which it is one-one and onto, defines the inverse on that stretch (the principal value branch), draws each inverse as the mirror image of the trimmed graph in the line y = x, and uses the two undoing rules to turn tangled expressions into simple ones.

Also called: inverse trigonometry · ITF

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Lessons

12 lessons · 100 min

01Why the domain is cutNCERT §2.18 min 02sin⁻¹ and its principal branchNCERT §2.210 min1 sim 03cos⁻¹ and its principal branchNCERT §2.26 min 04tan⁻¹ and cot⁻¹NCERT §2.27 min 05cosec⁻¹ and sec⁻¹NCERT §2.27 min 06The six principal branchesNCERT §2.27 min 07Finding principal valuesNCERT §2.27 min 08Graphs as mirror imagesNCERT §2.27 min 09Undoing an inverseNCERT §2.312 min1 sim 10Simplifying by substitutionNCERT §2.38 min 11Identities JEE addsNCERT §2.38 min 12Chapter reviewMust-know facts, traps and formulas13 min

Simulations

2 in this chapter

Pick a branch of sin⁻¹In: sin⁻¹ and its principal branch Does sin⁻¹ undo sin?In: Undoing an inverse