[MOVED] If sin(theta) = m/n, 0 < theta < pi/2, then ta

FMMurphy

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Mar 12, 2006
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If theta is an angle measure such that 0 < theta < pi/2 and sin(theta) = m/n, where m and b are positive real numbers, then what is the value of tan(theta)?

Would it be n/ sq rt n^2-m^2 ?
 
Try drawing the right triangle in the first quadrant, labelling the two sides whose lengths you are given (in the sine ratio), and then using the Pythagorean Theorem to find the length of the third side.

Note: If you mean your answer to be "n/sqrt[n<sup>2</sup> - m<sup>2</sup>]", then you are very close.

Eliz.
 
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