Posted by **Tye** on Thursday, March 11, 2010 at 3:03pm.

If sin theta= -7/8, then the value of 1/cot theta in the interval 3pi/2<theta is? okay I've done this question twice. The 1st time I got -7/sqrt15 and the next time got sqrt15/7. Are either of these right or am I totally messed??? I've got myself confused.

- TRIG MATH -
**FredR**, Thursday, March 11, 2010 at 7:50pm
sin = opposite / hypotenuse so,

hypotenuse = 8

opposite leg = 7

adjacent leg = sqrt(8^2 - 7^2)

= sqrt(15)

1/cot = tan

tan = opposite / adjacent

= 7/sqrt(15)

in the 4th quadrant the tangent is negative, so add a minus sign:

1/cot(theta) = -7/sqrt(15)

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