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anonymous

  • one year ago

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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  1. anonymous
    • one year ago
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    |dw:1439953692116:dw|

  2. anonymous
    • one year ago
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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

  3. anonymous
    • one year ago
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    Does it matter that it's sin^-1?

  4. anonymous
    • one year ago
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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

  5. anonymous
    • one year ago
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    did you find the third side?

  6. anonymous
    • one year ago
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    i think maybe i lost you there ?

  7. anonymous
    • one year ago
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    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?

  8. amilapsn
    • one year ago
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    yep

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