Write the product using exponents
1 answer:
The product of the expression is
or
.
Power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.
Given expression is :
=
= [
]
=
Hence, =
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Answer:
x = {kπ, arccos(1/5) +2kπ, 2kπ -arccos(1/5)}
Step-by-step explanation:
The double-angle trig identity for sine is useful:
5(2sin(θ)cos(θ)) -2sin(θ) = 0
2sin(θ)(5cos(θ) -1) = 0
This has solutions that make the factors zero:
θ = arcsin(0) = kπ
and ...
cos(θ) = 1/5
θ = arccos(1/5) +2kπ . . . . or . . . . 2kπ -arccos(1/5)
_____
Some numerical values are shown on the graph attached. values for multiples of pi are ...
{..., -12.566, -9.425, -6.283, -3.142, 0, 3.142, 6.283, 9.425, 12.566, ...}
This is all about operations priority! We have to perform the operations in the right order, remembering that parentheses come first, then powers, then multiplications and then additions:
Start with
Perform the operations inside parenthesis first:
Perform the square:
Perform the product:
Perform the sum:
Note: you have an extra parenthesis at the end, and none of the options meets the result. I'm afraid that there's a typo in the question, but this should still give you a valid strategy to solve the actual exercise.