If cos A= 1/8 With A in QIV, find sec A/2
Show work

Recall the half-angle identity,

cos²(x/2) = (1 + cos(x))/2

The angle A terminates in the fourth quadrant, so 270° < A < 360°. Then the corresponding half-angle terminates in the second quadrant, since 135° < A/2 < 180°, so cos(A/2) < 0. This means

cos(A/2) = - √((1 + cos(A))/2) = -3/4

so that

sec(A/2) = 1/cos(A/2) = -4/3.

step-by-step explanation:

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕