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jek_recluse [69]
3 years ago
11

Find x for, sin⁻¹ 4x + sin⁻¹ 3x = -

frac{\pi }{2}" alt="\frac{\pi }{2}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0
<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}

So we can rewrite this as:

f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}

Using graphing calculator, we get that this value occurs at:

\boxed{x=-0.2}

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