First slide

Properties of ITF

Question

$If \sin^{- 1} \frac{5}{x} + \sin^{- 1} \frac{12}{x} = \frac{π}{2}, then the value of x$

Moderate

A

15
B

10
C

13
D

12

Solution

$\begin{array}{l} \cos^{- 1} \frac{\sqrt{x^{2} - 25}}{x} + \sin^{- 1} \frac{12}{x} = \frac{π}{2} \\ \sqrt{x^{2} - 25} = 12 \\ x^{2} = 169 \\ x = 13 \end{array}$

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