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
#SPJ1
When you graph both equations, the solutions are all points found in the shaded region of where the graphs overlap. Solutions are also found on y <span>≥ -2x-2 because it has a greater than or equal to sign and the line is solid.
The red line is y > x - 5
The blue line is y </span><span>≥ -2x-2</span>
Answer:
its false
Step-by-step explanation:
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{16z + 12}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B16z%20%2B%2012%7D%7D%7D%7D%7D)
Step-by-step explanation:
![\sf{(4z + 3) + (4z + 3) + (4z + 3) + (4z + 3)}](https://tex.z-dn.net/?f=%20%5Csf%7B%284z%20%2B%203%29%20%2B%20%284z%20%2B%203%29%20%2B%20%284z%20%2B%203%29%20%2B%20%284z%20%2B%203%29%7D)
Remove the unnecessary parentheses
![\sf{4z + 3 + 4z + 3 + 4z + 3 + 4z + 3}](https://tex.z-dn.net/?f=%20%5Csf%7B4z%20%2B%203%20%2B%204z%20%2B%203%20%2B%204z%20%2B%203%20%2B%204z%20%2B%203%7D)
Collect like terms
Only the coefficients of like terms can be added or subtracted
![\sf{4z + 4z + 4z + 4z + 3 + 3 + 3 + 3}](https://tex.z-dn.net/?f=%20%5Csf%7B4z%20%2B%204z%20%2B%204z%20%2B%204z%20%2B%203%20%2B%203%20%2B%203%20%2B%203%7D)
![\sf{16z + 3 + 3 + 3 + 3}](https://tex.z-dn.net/?f=%20%5Csf%7B16z%20%2B%203%20%2B%203%20%2B%203%20%2B%203%7D)
Add the numbers
![\sf{16z + 12}](https://tex.z-dn.net/?f=%20%5Csf%7B16z%20%2B%2012%7D)
Hope I helped!
Best regards! :D