Answer:
The answers are 0, 1 and −2.
Step-by-step explanation:
Let α=arctan(2tan2x) and β=arcsin(3sin2x5+4cos2x).
sinβ2tanβ21+tan2β2tanβ21+tan2β23tanxtan2β2−(9+tan2x)tanβ2+3tanx(3tanβ2−tanx)(tanβ2tanx−3)tanβ2=3sin2x5+4cos2x=3(2tanx1+tan2x)5+4(1−tan2x1+tan2x)=3tanx9+tan2x=0=0=13tanxor3tanx
Note that x=α−12β.
tanx=tan(α−12β)=tanα−tanβ21+tanαtanβ2=2tan2x−13tanx1+2tan2x(13tanx)or2tan2x−3tanx1+2tan2x(3tanx)=tanx(6tanx−1)3+2tan3xor2tan3x−3tanx(1+6tanx)
So we have tanx=0, tan3x−3tanx+2=0 or 4tan3x+tan2x+3=0.
Solving, we have tanx=0, 1, −1 or −2.
Note that −1 should be rejected.
tanx=−1 is corresponding to tanβ2=3tanx. So tanβ2=−3, which is impossible as β∈[−π2,π2].
The answers are 0, 1 and −2.
I think the right answer to your question may be F I don’t know for sure
The maximum difference between two prime numbers that are between 50 and 100 is 44, the difference that separates the numbers 53 and 97.
A prime number is a set of natural numbers greater than 1 that are characterized by having two positive divisors, himself and 1. Additionally, the number 1 is not considered a prime or composite number.
According to the above, the greatest difference between two prime numbers that are between 50 and 100 is 44 because it is the difference between 53 and 97, and these numbers are classified as prime numbers.
Learn more in: brainly.com/question/13665423
Slope is -3/4
It goes down three and goes right four