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
Answer:
It's D. 53.1°
Step-by-step explanation:
2 lines intersect at (1,2)
so answer is Yes.
(1,2) is the solution to the system.
1.32 that would be the answer because you would have to times it
Answer:
The stock Norman purchased increased in its value by 25%.
Step-by-step explanation:
Original Value of the stock = $ 420
New(Current) value of the stock = $ 525
We have to find the percentage change in the value of stock. The formula to calculate the percentage change is:

Substituting the given values into this formula results in:

A positive value of Percentage Change indicates a growth. This means that the stock Norman purchased increased in its value by 25%.