Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Answer:
-12
1
9
13
Step-by-step explanation:
its just the numbers in front of the variables
Answer: 9.3 because it’s a decimal .
Step-by-step explanation:
Answer: 17
21-4=17
4+17=21
21+17=38 and so on..
First you put the numbers in this form:
11 Bagels = $9.57
________ _______
? Bagels = $3.52
Now they look like fractions but you have to cross multiply them like this: 11 x $3.52 which makes $38.72 then you divide $38.72 by $9.57 which makes the answer that you have to find which is 4.04597701 or just to round 4 and then that will be your answer.
