Find the EXACT value of
sin(A−B) if cos A = 3/5 where A is in Quadrant IV and cos B = 12/13
where B is in Quadrant IV. Assume all angles are measured from standard position.

Step-by-step explanation:

step 1

Find the value of sin(A)

we know that

we have

substitute

Remember that the angle A is in Quadrant IV

so

The value of sin(A) is negative

therefore

step 2

Find the value of sin(B)

we know that

we have

substitute

Remember that the angle B is in Quadrant IV

so

The value of sin(B) is negative

therefore

step 3

Find the value of sin(A-B)

we know that

substitute the given values

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

my guess would be b and d, but i didn’t actually get out the pen and paper. lol