Consider the following in respect of inverse circular functions : I. ⁻¹(-x)=- ⁻¹x II. ⁻¹(-x)= ⁻¹x III. ⁻¹(-x)= - ⁻¹x IV. ⁻¹(-x)= - ⁻¹x How many of the above are correct ?

Question

Quantrex Academy · Accepted Answer

Correct answer: B. Two

Statement I: ⁻¹(-x) = - ⁻¹x is a standard property of inverse trigonometric functions and is correct. Statement II: The correct property is ⁻¹(-x) = - ⁻¹x . Hence, this statement is incorrect. Statement III: The correct property is ⁻¹(-x) = - ⁻¹x . Hence, this statement is incorrect. Statement IV: ⁻¹(-x) = - ⁻¹x is a standard property and is correct. Exactly two of the given statements are correct.

Consider the following in respect of inverse circular functions : I. ⁻¹(-x)=- ⁻¹x II. ⁻¹(-x)= ⁻¹x III. ⁻¹(-x)= - ⁻¹x IV. ⁻¹(-x)= - ⁻¹x How many of the above are correct ?

Options

Correct answer

Step-by-step solution

More from Inverse Trigonometric Functions