Question

If x>0 and sin−1(5x)+sin−1(12x)=π2, than find the value of x.

Answer 1

Answer:

$x = \frac{1}{13}$ or $x = -\frac{1}{13}$.

Step-by-step explanation:

Given: $sin^-^1(5x) + sin^-^1(12x) = \pi/2$

So, $sin^-^1(5x) = cos^-^1(12x)$

Hence: $(5x)^2 + (12x)^2 = 1$

Or, $169x^2 = 1$

So, $x = \frac{1}{13}$ or $x = -\frac{1}{13}$.