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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Answer:
C. 3, -7
Step-by-step explanation:
x^2 +4x-21 =0
Factor
What 2 numbers multiply to -21 and add to 4
7*-3 = -21
7-3 = 4
(x+7) (x-3) =0
Using the zero product property
x+7 =0 x-3=0
x+7-7=0-7 x-3+3=0+3
x = -7 x=3
Answer:
x = 57°
Step-by-step explanation:
The angle not 76° or x° is 180-133 which is 47°. A triangles angles always sum up to 180° so:
76°+47°+x°=180°
123°+x°=180°
x°=57°
Answer: 8.4; 14.
Step-by-step explanation:
To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.
9 x 0.4 = 3.6.
Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.
12 - 3.6 = 8.4.
We have 8.4 meters of ribbon to make wreaths.
Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.
8.4 ÷ 0.6 = 14.
Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.
(Part A's answer is 8.4, and Part B's answer is 14)
Answer:
I think it is G
Step-by-step explanation:
So ya see, it really does peak at the given times.
