Answer:
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.
Answer:
25 / 24
Step-by-step explanation:
Given,
sin x = - 7 / 25
cot x = - 24 / 7
To find : sec x = ?
Identity : -
sin θ = opposite / hypotenuse
cot θ = adjacent / opposite
Similarly,
sin x = - 7 / 5
opposite / hypotenuse = - 7 / 5
Therefore,
opposite = - 7
hypotenuse = 5
cot x = - 24 / 7
adjacent / opposite = - 24 / 7
adjacent = 24
opposite = - 7
Identity : -
sec θ = hypotenuse / adjacent
hypotenuse² = 25
Similarly,
sec x = 25 / 24
