Question

Example 7 : Show that 0.3333... = 0.3 can be expressed in the form 2 , where p and
9
q are integers and q +0.
ni in
let us call it 'r' and so​

Answer 1

$\huge\underline\bold \red {♡AnswEr♡}</h3><h3>$

cosA=5/13

sinA=-√(1-cos^2A) (since theta is in 4th quadrant)

i.e. sinA=-√144/169

=-12/13

tanB=-15/8

sinB=+(15)/√{(-15)^2+(8)^2} (B is in Q2)

i.e. sinB=15/17

cosB=tanB/sinB

i.e. cosB=-15/8 * 17/15

cosB=17/8

now

sin(A+B)=sinAcosB+cosAsinB

sin(A+B)=(-12/13)(17/8)+(5/13)(15/17)

={1/13}(-51/2 + 75/17)

=(1/13)(-710/34)

=-710/442

$<marquee>$❤❤ please make a brain list answer❤❤