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# Mr. Ray Atkinson, I believe that I remember that sine and cosecant,

Mr. Ray Atkinson, I believe that I remember that sine and cosecant, and the cosine and the secant, and the tangent and the co-tangent, are each the reciprocal of one another or the reciprocal of the other. But I am trying to remember the formula on how to arrive at the answer of getting the reciprocal of each. For example, the cosine of 150 degrees is (negative .8660). Would the formula for getting the secant of 150 degrees be to divide 1 by (negative .8660), or 1/(negative .8660)? Please explain. Thank you for your assistance.

Ray Atkinson :

1 / sin = csc
1 / cos = sec
1 / tan = cot

cos 150 = -√3 / 2 = -0.866, and sec 150 = -2√3 / 3 = -1.155
To get the inverse, you divide into 1. The inverse of 3 is 1/3. the inverse of x is 1/x

Ray Atkinson :

1 / (-0.866) = -1.155

Ray Atkinson :

Is that the explanation you were looking for?