state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematics Trigonometry Inverse Trigonometric Functions
Consider the statements:
(I) If f(x) = sin (cot-1 (cos(tan-1 x))), then f(0) = \(\frac{1}{2}\)
(II) \(\sin\rm\left( {4\tan^ {- 1} \frac{1}{5} - tan^ {- 1}\frac{1}{{239}}}\right)\) = 1
1
Both I and II are false
2
Both I and II are true
3
I is true, but II is false
4
I is false, but II is true
5
Question Not Attempted