Find sec x if sin x = -7/25 and cot x = -24/7.
Show work.

25/24

Step-by-step explanation:

sin x = O/H = -7/25

cot x = A/O = -24/7

sec x = H/A

if sin x = -7/25, the opposite side is 7, and the hypotenuse is 25

if cot x = -24/y, the adjacent side is 24 (and the opposite side is still 7)

since H = 25 and A = 24, sec x = 25/24

Also, you know it's positive because when sin x is negative, the angle is in quadrants 3 or 4, and when cot x is negative, the angle is in quandrants 2 or 4, so the only quadrant that satisfies both is 4. In quadrant 4, sec x is positive.

step-by-step explanation:

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