Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
3/12 = 4
15 x 4 = 60
12 x 10 = 120
120 - 60 = 60
He will make 60 cents if he buys and sells 12 flowers
Answer:
His average speed was 55.8 miles per hour
You cannot draw a triangle with two right or two obtuse angles; the total measure of the angles in any triangle is 180 degrees.
Answer:
questionably $126 if working 8 hours a day
Step-by-step explanation:
Information unclear, depending on how many hours she works will determine the answer. multiply 15.75 by the amount of hours she works
