For the following problem, assume that all given angles are in simplest form, so that if a is in qiv you may assume that 270° < a < 360°. if sin ( a ) = − 1/3 with a in qii then find cos a/2.

Step-by-step explanation:

Given that angle A is in IV quadrant

So A/2 would be in II quadrant.

sin A = -1/3

cos A =

(cos A is positive since in IV quadrant)

Using this we can find cos A/2

this is answer of 144 cubic meters

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.