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Step-by-step explanation:hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
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Answer:
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(2π/15)
Step-by-step explanation:
We will make use of trig identities to solve this. Here are some common trig identities.
Cos (A + B) = cosAcosB – sinAsinB
Cos (A – B) = cosAcosB + sinAsinB
Sin (A + B) = sinAcosB + sinBcosA
Sin (A – B) = sinAcosB – sinBcosA
Given cos(π/3)cos(π/5) + sin(π/3)sin(π/5) if we let A = π/3 and B = π/5, it reduces to
cosAcosB + sinAsinB and we know that
cosAcosB + sinAsinB = cos(A – B). Therefore,
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(π/3 – π/5) = cos(2π/15)
1/2 goes to the 1 quart
the 4 pints goes to the1 pint
16 cups goes to the 1 quart
1/4 goes to the gallon
8 pints goes to the 1 pints
these are where they belong
Answer:
Step-by-step explanation:
Given the polynomials:
On Inspection
By the Spanning Theorem
If one vector in S is a linear combination of the others, we can delete it and get a subset (one vector smaller) that has the same span.
Therefore, since
are linearly independent because cannot be written in terms of .
Therefore,