Answer:
A
Step-by-step explanation:
![cos~ \theta=\sqrt{1-sin^2 \theta} =\sqrt{1-(\frac{1}{2})^2 } =\frac{\sqrt{3} }{2} \\1+cos~\theta=2cos^2\frac{\theta}{2} \\1+\frac{\sqrt{3}}{2} =2~cos^2 \frac{\theta}{2} \\cos^2\frac{\theta}{2} =\frac{2+\sqrt{3}}{2 \times 2} \\cos \frac{\theta}{2} =\frac{\sqrt{2+\sqrt{3}}}{2} \\1-cos \theta=2 ~sin^2\frac{\theta}{2} \\1-\frac{\sqrt{3}}{2}=2~sin^2 \frac{\theta}{2} \\sin^2 \frac{\theta}{2} =\frac{2-\sqrt{3} }{2 \times 2} \\sin \frac{\theta}{2}=\frac{\sqrt{2-\sqrt{3} } }{2}](https://tex.z-dn.net/?f=cos~%20%5Ctheta%3D%5Csqrt%7B1-sin%5E2%20%5Ctheta%7D%20%3D%5Csqrt%7B1-%28%5Cfrac%7B1%7D%7B2%7D%29%5E2%20%7D%20%3D%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5C%5C1%2Bcos~%5Ctheta%3D2cos%5E2%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%5C%5C1%2B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%20%3D2~cos%5E2%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%5C%5Ccos%5E2%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D%5Cfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B2%20%5Ctimes%202%7D%20%5C%5Ccos%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%7D%7D%7B2%7D%20%5C%5C1-cos%20%5Ctheta%3D2%20~sin%5E2%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%5C%5C1-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D2~sin%5E2%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%5C%5Csin%5E2%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D%5Cfrac%7B2-%5Csqrt%7B3%7D%20%7D%7B2%20%5Ctimes%202%7D%20%5C%5Csin%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%3D%5Cfrac%7B%5Csqrt%7B2-%5Csqrt%7B3%7D%20%7D%20%7D%7B2%7D)
as 0≤θ≤90
so θ/2 is also in 0≤θ≤90
hence sin θ/2 and cos θ/2 are positive.
Answer:
what lemonade business explain please
Step-by-step explanation:
Answer: hard question i can help you if you like me to
Step-by-step explanation:
Answer:
A boxplot offers us information that can be used to compare two variables. In particular, if one variable is quantitative and the other variable is qualitative, a boxplot is generated for each category of the qualitative variable. Therefore, through this graph it is possible to analyze the relationship between the amount of money spent on food and the gender of the person.
A circular diagram offers information for a single variable, especially of a qualitative type.
A histogram offers us information for a single variable, especially quantitative type.
A relational analysis between two variables could be done using options (D) or (E), however one of the variables of interest is of qualitative type and the other is of quantitative type, so the scatterplot and the two-way table.
Step-by-step explanation:
I believe you just multiply the number of students by the number of students in each combination
30*6= 180 combinations