Answer:
The expanded value of the given expression is
Step-by-step explanation:
Given expression is
To find the value of the given expression:
(By multiplying the products and doing algebraci subtracion of the above expression)
Now taking the common terms in the above equation we get
Therefore the expanded value of the given expression is
2(2^4) - 5(2^2) - 3*2 + 2 = 32-20-6+2 = 8
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)
Answer:
162
Step-by-step explanation:
54 * 3 = 162
hope it's helpful
(2 - 3i) + (8 - 2i)
Get rid of all of the parenthesis.
2 - 3i + 8 - 2i
Combine like terms.
(-3i - 2i) + (2 + 8)
Simplify.
-5i + 10
~Hope I helped!~
