There is a math graping app called desmos it can help you graph the equation and give you the intercepts
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:
No
Step-by-step explanation:
Given: There are 4 prime numbers between 10 and 20 i.e, 11,13,17, and 19.
To verify : If are there always the same number of prime numbers between 2 consecutive multiples of 10
Solution:
No, it is not so that there always the same number of prime numbers between 2 consecutive multiples of 10.
For example:
50 and 60 are multiples of 10 .
Prime numbers between 50 and 60 are 53 and 59 .
i.e, there are two prime numbers between 50 and 60.
Therefore, this contradicts the statement that there always the same number of prime number between 2 consecutive multiples of 10.
9x2 /3 = r
if the stick is 9m long 2 sticks is 9x2 then divided by 3. the answer would be r