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mth 164
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Question Form_labelMessages **
Exact value question
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I have real trouble with calculating exact value questions. One that I have seen is tan(sin^-1(.0483)) could you walk me through the steps of solving this or one like this ? Thank you
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sin^-1(.0483) is the angle whose sine is .0483.
You can construct a triangle containing this angle. The sine is the opposite side divided by the hypotenuse, so if you construct a right triangle with the side opposite one of the angles .0483 and hypotenuse 1, that angle will be sin^-1(.0483).
Do construct this triangle.
Now figure out the exact length of the unknown leg. Your expression will be a square root, and to get an exact value you can't approximate it. So you'll have to express it in radical form (e.g., the side isn't sqrt(.69837482), but that could be an example of the length of the second side for some other triangle; your form will be similar).
At this point you will know all three sides, and you can find the tangent of this angle. What is it?
If you can't answer all these questions, answer the ones you can and submit your answers and I'll try to clarify further. In this case, if you approximate the exact value you get by taking the square root and doing the division, your number will be quite close to, but not exactly the same as .0483. For small angles, the tangent and the sine are close to, but not quite exactly the same.
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