From the trigonometry:
tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)
∴ tan θ + cot θ = (sin θ) / (cos θ) + (cos θ) / (sin θ)
= [ sin² θ + cos² θ]/( sin θ cos θ) = 1 /( sin θ cos θ )
note : sin² θ + cos² θ = 1
A=6
B= -1/2
C= 11
I had this one on my test and I got it right have a good day
<h2>
Answer with explanation:</h2>
Let p be the proportion of the correct answers.
As per given , we have
, since the alternative hypothesis is right tailed , so the test is a one -tailed test.
If the student gets 52 answers correct out of 80.
i.e. the proportion of correct answers : 
Test statistic : 
P-value : 
[ by using p-value table for z (right-tailed)]
Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.
Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.
Answer:
Step-by-step explanation:
Let x represent the total sales made in a year.
Employees at Driscoll's Electronics as a base salary plus a 20% Commission on their total sales for the year. If the base salary is $40,000, it means that if the employee makes a total sales of $x in a year, the total equation to represent earnings would be
0.2x + 40000
b) if Stewart wants to make $65,000 this year, it means that
0.2x + 40000 = 65000
0.2x = 65000 - 40000
0.2x = 25000
x = 25000/0.2
x = 125000
c) 52,000 + 0.3s = 82,000
The base salary is $52000
The percentage of commission from sales is 30%
The angle between their paths to the nearest degree is 68⁰.
<h3>
Displacement of each boats after 45 minutes</h3>
first displacement, a = 15 km/h x (45/60)
first displacement, a = 11.25 km
second displacement, b = 18 km/h x (45/60)
b = 13.5 km
<h3> Angle between their paths to the nearest degree</h3>
c² = a² + b² - 2ab(cosθ)
2ab(cosθ) = a² + b² - c²
cosθ = (a² + b² - c²)/(2ab)
cosθ = (11.25² + 13.5² - 14²) / (2 x 11.25 x 13.5)
cosθ = 0.371
θ = arc cos(0.371)
θ = 68.22 ⁰
Thus, the angle between their paths to the nearest degree is 68⁰.
Learn more about angles here: brainly.com/question/25716982
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