How would you simplify tan(sin^-1 (x/2)) to find its exact value? Is sin^2 theta+cos theta=2 true or false?

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How would you simplify tan(sin^-1 (x/2)) to find its exact value? Is sin^2 theta+cos theta=2 true or false?

Mathematics
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there is a picture of an angle whose sine is \(\frac{x}{2}\) find the third side via pythagoras then you can find any trig ratio you want
Does it matter that it's sin^-1?

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not sure what you are asking but i guess the answer is "of course it matters" if it was cosine it would be different
did you find the third side?
i think maybe i lost you there ?
Sorry, I spent some time doing the calculation with identities instead of a triangle and ended up with \[ \tan(\sin^-1 x/2)= (x/2)/(√1-(x^2/4))=x/(2√(1-(x^2/4)))\] Would this result in the same answer as using the triangle?
yep

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