Practicing Success
Which of the following statement is(are) true or false: (i) $\tan^{-1}(1)=\frac{π}{4}$ (ii) $\sin^{-1}\frac{π}{2}$ not defined (iii) $\tan^{-1}x=\cot^{-1}\frac{1}{x}$ (iv) $cosec^{-1}x=\sin^{-1}\frac{1}{x},|x|≥1$ |
TFFT TFTF TTFT FTTF |
TTFT |
(i) $\tan^{-1}(1)=\frac{π}{4}$ is true (ii) $\sin^{-1}(1.57)$ = not defined ($\sin^{-1}x$ defined when -1 ≤ x ≤ 1) ⇒ The given equation is true (iii) $\tan^{-1}x=\cot^{-1}\frac{1}{x}$ not true for all x (iv) Standard result |