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Inverse Trigonometric Functions question

2007 · Shift 1 · Q35

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PYQ Library
JEE Advanced
Mathematics
Inverse Trigonometric Functions
2007 · Shift 1 · Q35

Inverse Trigonometric Functions question

2007 · Shift 1 · Q35

JEE AdvancedMathematicsInverse Trigonometric FunctionsMCQ+3 / −1

Let F(x) be an indefinite integral of

\sin^2x

. Statement 1 : The function F(x) satisfies F(

x+\pi

) = F(

x

) for all real x. Statement 2 :

{\sin ^2}(x + \pi ) = {\sin ^2}x

for all real x.

A
Statement 1 is True, Statement 2 is True, Statement 2 is a CORRECT explanation for Statement 1
B
Statement 1 is True, Statement 2 is True, Statement 2 is NOT a CORRECT explanation for Statement 1
C
Statement 1 is True, Statement 2 is False
D
Statement 1 is False, Statement 2 is True

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