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Unit 2: Trigonometric Functions-II
2.5 Property of Inverse of Trigonometric Function Notes
–1
Property 1: sin (sin ) = ,
Solution: Let sin = x
–1
= sin x
–1
= sin (sin ) =
–1
Also sin(sin x) = x
Similary, we can prove that
–1
(i) cos (cos ) = , 0
(ii) tan (tan ) = ,
–1
Property 2
(i)
(ii)
(iii)
Solution
–1
(i) Let cosec x =
x = cosec
= sin
=
cosec x =
–1
–1
(ii) Let cot x =
x = cot
= tan
=
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