Inverse Trigonometric Functions

Appeared 66 times across 14 years of JEE Main papers — about 4.7 questions a year. Every one of them is below, with a full worked solution.

Questions per year

1’02

1’03

1’05

1’07

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1’13

1’15

2’17

8’19

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6’23

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01Medium66×since 2002Q4075

If the inverse trigonometric functions take principal values then

{\cos ^{ - 1}}\left( {{3 \over {10}}\cos \left( {{{\tan }^{ - 1}}\left( {{4 \over 3}} \right)} \right) + {2 \over 5}\sin \left( {{{\tan }^{ - 1}}\left( {{4 \over 3}} \right)} \right)} \right)

is equal to :

Inverse Trigonometric Functions — previous year questions · Alror

Mathematics