Manipal MET2010MathematicsInverse Trigonometric Functions
The value of ⁻¹ [ c o s ( ⁻¹ 2- 3 4 . . . .+ ⁻¹ 12 4 + ⁻¹ 2 ) ] is
Options
- A0
- B4
- C6
- D2
Correct answer
A. 0
Step-by-step solution
We have, ⁻¹ [ ( ⁻¹ ( 2- 3 4 ) + ⁻¹ 12 4 + ⁻¹ 2 ) ]= ⁻¹ [ ( ⁻¹ ( 3 -1 2 2 )+ ⁻¹ 3 2 + ⁻¹ 1 2 ) ] [ ( 2- 3 4 )^ 1 / 2 = 3 -1 2 2 ]= ⁻¹ [ (15^ +30^ +45^ ) ]= ⁻¹ [ 90^ ] ( 15^ = 3 -1 2 2 ) aligned & = ⁻¹ 0 & =0 aligned