The answer is C!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. By definition, you have:
Sin(α)=Opposite/Hypotenuse
2. Then, SinA is:
SinA=BC/AC
A is the angle in the vertice "A".
BC is the opposite leg to the the angle A.
AC is the hypotenuse of the triangle.
3. By definition, you have:
Cosα=Adjacent/Hypotenuse
4. Then, CosC is:
CosC=BC/AC
C is the angle at the vertice "C".
BC is the adjacent leg to the angle C.
AC is the hypotenuse.
5. Therefore, the answer is the last option:
The equivalent to SinA is CosC
So, first, to make things easier, you should convert these mixed fractions into improper fractions so it's easier to deal with later. The improper fractions will be 51/10 divided by 32/5.
Since you're are dividing fractions, there is a rule when dividing fractions, you have to multiply the number by the reciprocal, meaning the second fraction needs to be flipped and the divide signs will turn into a multiply sign. It will be:
51/10 times 5/32
This is the time where you simply where you can:
51/2 times 1/32
After simplifying, you times the numerator together (the top number of the fraction) and the denominator (the bottom number of the fraction).
=51/64
