Review the proof of sin(A – B) = sinAcosB – cosAsinB sin(A – B) =

Step 1: Equals cosine left-bracket (StartFraction pi Over 2 EndFraction minus A) + B right-bracket

Step 2: Equals cosine left-bracket StartFraction pi Over 2 EndFraction minus (A minus B) right-bracket

Step 3: Equals cosine (StartFraction pi Over 2 EndFraction minus A) cosine B minus sine (StartFraction pi Over 2 EndFraction minus A) sine B

Step 4: = sinAcosB – cosAsinB

How must the proof be rearranged for the steps to logically follow each other?

a. Step 3 should be step 1.
b. Step 4 should be step 1.
c. Steps 1 and 2 must be switched.
d. Steps 1 and 3 must be switched.

C.) Steps 1 and 2 must be switched.

Step-by-step explanation:

correct on edge

C, steps 1 and 2 must be switched

Step-by-step explanation:

right on edge 2020

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: