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, ...}
Answer:
x=-3 y=-1
Step-by-step explanation:
The contrapositive statement is "If we go swimming, then there is no lightning storm"
<h3>What is a contra positive statement?</h3>
A contrapositive statement is a proposition or theorem formed by contradicting both the subject and predicate or both the conclusion and hypothesis of a given proposition or theorem and interchanging them.
Example : "if not-B then not-A " is the contra positive of "if A then B "
Given the statement;
“if there is a lightning storm then we won’t go swimming”
The contra positive statement is;
"If we go swimming, then there is no lightning storm"
Thus, the contrapositive statement is "If we go swimming, then there is no lightning storm"
Learn more about contrapositive statement here:
brainly.com/question/11073037
#SPJ1
Answer:
y= -2/3x - 4
Step-by-step explanation:
the 2/3 comes from going up 2 spaces and over left 3 spaces. the b is negative 4 because of where it falls. the line is negative because of the direction it is in.