The value of the given trigonometry function is 2√15/15
<h3>Half angles</h3>
Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.
For instance the value of cos theta is expressed as shown below;
cosФ = cos(Ф/2+Ф/2)
cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ = 1 - 2cos²Ф/2
Given the following parameters
cosФ = -7/15
Substitute
cosФ = 1 - 2cos²Ф/2
-7/15 = 1 - 2cos²Ф/2
-2cos²Ф/2 = -7/15 - 1
-2cos²Ф/2 = -8/15
cos²Ф/2 = 4/15
cosФ/2 = 2/√15
Rationalize
2/√15 * √15/√15
2√15/15
Hence the value of the given trigonometry function is 2√15/15
Learn more on trigonometry function here: brainly.com/question/2254074
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The answer is g(x) = 2^x+3-2
The answer is 14%
Cost of meal is 100%: $18.50 is 100%
Tip is x%: $2.59 is x
Make a proportion:
$18.50 : 100% = $2.59 : x
x = 100% * $2.59 : $18.50
x = 14%
Answer:
a. 3
Step-by-step explanation:
An independent variable is the variable that is changed in an experiment to test its effects on the dependent variable. i.e. inputs
A dependent variable is the variable being tested, measured or predicted in an experiment. I.e a outcome
In this case, the the effects of the amount tutors are paid a week before exam, the amount of sleep before exam and the number of study hours are input variables to determine or predict a students score in exam
The independent variables are;
x1 =represents the amount paid to a tutor (in dollars) in the week before the exam
x2 = represents the number of hours of sleep in the week before the exam
x3 = number of study hours in the week before the exam
The dependent variable is the exam score
B0, B1, B2,B3, B4 are coefficients
