Write the expression as the sine, cosine, or tangent of an angle. sin 8x cos x - cos 8x sin x
2 answers:
Answer:
sin(7x)
Step-by-step explanation:
sin 8x cos x - cos 8x sin x
We use identity
sin(a-b) = sin(a)cos(b) - cos(a)sin(b)
We have 8x in the place of 'a' and x in the place of 'b'
sin(8x-x) = sin 8x cos x - cos 8x sin x
So sin(a-b) becomes sin(8x-x)
sin(8x-x) = sin(7x)
So sin 8x cos x - cos 8x sin x= sin(7x)
Sin(8x)cos(x) - cos(8x)sin(x)
identity being used: -cos(s)sin(t) + cos(t)sin(s) = sin(s-t)
sin(8x)cos(x) - cos(8x)sin(x) --> simplified = sin(8x-x)
sin(8x-x) is simplified to --> sin (7x)
sin(8x)cos(x) - cos(8x)sin(x) = sin(7x)
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Answer is A.
The values of x must be greater than or equal to 1 and the value of x must be less than or equal to -2.
x >= 1.....x <= -2
Please see attachment!
Answer:
y≥0
Step-by-step explanation:
no matter what is written inside it,
|x|≥0
so here
f(x)≥|-x|
so
f(x)≥0
then
y≥0