Which sum or difference identity could be used to prove that sin(pie + q) = -sin q

see below

Step-by-step explanation:

sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

sin(π+q) = sin(π)cos(q) + cos(π)sin(q)

sin(π) = 0

cos(π) = -1

therefore

sin(π+q) = 0*cos(q) -sin(q) = -sin(q)

step-by-step explanation:

se a cavasery6

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week