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:
1/2 of a minute
Step-by-step explanation:
Ok so a triangle is equal to 180 degrees!!!
So with that info u can make a crazy little equation
180=70+68+47+x
Ok then you add 70,68 and 47
180=185+x
Ok now u have to subtract 185 on both sides
And get the answer -5=x or x=-5 (same thing)
Answer:
144
Step-by-step explanation:
x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees
Answer:
Step-by-step explanation:
we are given equation for position function as
Since, we have to find acceleration
For finding acceleration , we will find second derivative
now, we can find derivative again
Firstly, we will set velocity =0
and then we can solve for t
we get
now, we can plug that into acceleration
and we get
