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Inverse Trigonometric Functions question

2022 · 26 Jun · Shift 2 · Q38

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 26 Jun · Shift 2 · Q38

Inverse Trigonometric Functions question

2022 · 26 Jun · Shift 2 · Q38

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

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 :

A
0
B
${\pi \over 4}$
C
${\pi \over 3}$
D
${\pi \over 6}$

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