The result of expanding the trigonometry expression
is ![cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)](https://tex.z-dn.net/?f=cos%5E0%28%5Ctheta%29%20%2B%20%5Ccos%28%5Ctheta%29%20-%20%5Ccos%5E2%28%5Ctheta%29%20-%20%5Ccos%5E3%28%5Ctheta%29)
<h3>How to evaluate the expression?</h3>
The expression is given as:
![\sin^2(\theta) * (1 + \cos(\theta))](https://tex.z-dn.net/?f=%5Csin%5E2%28%5Ctheta%29%20%2A%20%281%20%2B%20%5Ccos%28%5Ctheta%29%29)
Express
as
.
So, we have:
![\sin^2(\theta) * (1 + \cos(\theta)) = (1- \cos^2(\theta)) * (1 + \cos(\theta))](https://tex.z-dn.net/?f=%5Csin%5E2%28%5Ctheta%29%20%2A%20%281%20%2B%20%5Ccos%28%5Ctheta%29%29%20%3D%20%20%281-%20%5Ccos%5E2%28%5Ctheta%29%29%20%2A%20%281%20%2B%20%5Ccos%28%5Ctheta%29%29)
Open the bracket
![\sin^2(\theta) * (1 + \cos(\theta)) = 1 + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)](https://tex.z-dn.net/?f=%5Csin%5E2%28%5Ctheta%29%20%2A%20%281%20%2B%20%5Ccos%28%5Ctheta%29%29%20%3D%20%201%20%2B%20%5Ccos%28%5Ctheta%29%20-%20%5Ccos%5E2%28%5Ctheta%29%20-%20%5Ccos%5E3%28%5Ctheta%29)
Express 1 as cos°(Ф)
![\sin^2(\theta) * (1 + \cos(\theta)) = cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)](https://tex.z-dn.net/?f=%5Csin%5E2%28%5Ctheta%29%20%2A%20%281%20%2B%20%5Ccos%28%5Ctheta%29%29%20%3D%20%20cos%5E0%28%5Ctheta%29%20%2B%20%5Ccos%28%5Ctheta%29%20-%20%5Ccos%5E2%28%5Ctheta%29%20-%20%5Ccos%5E3%28%5Ctheta%29)
Hence, the result of expanding the trigonometry expression
is ![cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)](https://tex.z-dn.net/?f=cos%5E0%28%5Ctheta%29%20%2B%20%5Ccos%28%5Ctheta%29%20-%20%5Ccos%5E2%28%5Ctheta%29%20-%20%5Ccos%5E3%28%5Ctheta%29)
Read more about trigonometry expressions at:
brainly.com/question/8120556
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Answer:
60 dollars
Step-by-step explanation:
well it's simple
Answer:
The slope is 1.4
Step-by-step explanation:
Have a great day!!!
Kono Dio Da!!!
The answer is 10gh.
The product of g and h means the multiplication of g and h, so it would just be gh.
10 times the product of g and h would mean 10 multiplied by gh, so it would just be gh.