AP EAMCET2005MathematicsInverse Trigonometric Functions
2 h ⁻¹ 1 2 is equal to
Options
- A0
- B2
- C3
- D4
Correct answer
C. 3
Step-by-step solution
aligned 2 ⁻¹ & ( 1 2 ) & = ⁻¹ 2 ( 1 2 ) 1+ ( 1 2 )^2 & [ 2 ⁻¹ x= ⁻¹ 2 x 1+x^2 ] aligned aligned & = ⁻¹ 4 5 = 1 2 ( 1+ 4 5 1- 4 5 ) & [ ⁻¹ x= 1 2 ( 1+x 1-x ) ] & = 1 2 ( 9 5 1 5 )= 1 2 3^2= 3 aligned