Question

find the five rational numbers between 1/3 and -4/7.​

Answer 1

$\textbf{SOLUTION\:-}\\\\THE \:FIVE\:RATIONAL\:NUMBERS\:BETWEEN\:\frac{1}{3}\:AND\:\frac{-4}{7}\:ARE\:-\\1)\:\frac{6}{21}\\2)\:\frac{5}{21}\\3)\:\frac{4}{21}\\4)\:\frac{3}{21}\\5)\:\frac{2}{21}\\\\\\\mathbf{HOPE\:IT\:MAY\:HELP\:YOU...}$

Answer 2

Step-by-step explanation:

Cos(x).cos(y).dy + sin(x).sin(y) dx = 0

⇒ cos(x).cos(y).dy = - sin(x).sin(y) dx

⇒ cos(y)/sin(y) dy = -sin(x).cos(x).dx

By taking integration both side,

⇒ ∫cos(y)/sin(y) dy = -∫sin(x).cos(x).dx

⇒ ∫cot(y) dy = -∫tan(x).dx

⇒ ln|siny| = - (-ln|cos(x)| +c)

⇒ ln|sin(y)| = ln|cos(x)| + ln|C|

⇒ ln|sin(y)| = ln|C.cos(x)| ∵ ln(a) +ln(b) = ln(ab)

⇒ sin(y) = C.cos(x)