Write sin(x+1) in terms of unshifted sine and cosine. Write your answer using decimals. Please provide explanation, I’m confused.

sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)

Step-by-step explanation:

Here we can use the relation:

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

In this case we have:

sin(x + 1)

This means that the graph of sin(x) is shifted one unit to the left.

But we can write this, using the above relation, as:

sin(x + 1) = sin(x)*cos(1) + sin(1)*cos(x)

Now we have no longer a shift, and we can replace:

sin(1) = 0.841

cos(1) = 0.540

Then:

sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18