We know that
sin(A + B) = sin A cos B + cos A sin B----> equation 1
sin(A − B) = sin A cos B − cos A sin<span> B----> equation 2
so
</span>tan A+tan B=[sin A/cos A]+[sin B/cos B]
=[(cos B*sin A)+(sin B*cos A)](cos A*cos B)
substitute equation 1
sin (A+B)/(cos A*cos B)
tan A-tan B=[sin A/cos A]-[sin B/cos B]
=[(cos B*sin A)-(sin B*cos A)](cos A*cos B)
substitute equation 2
sin (A-B)/(cos A*cos B)
[tan A+tan B]/[tan A-tan B]
=[sin (A+B)/(cos A*cos B)]/[sin (A-B)/(cos A*cos B)]
=[sin (A+B)/sin (A-B)]
hence
[tan A+tan B]/[tan A-tan B]=[sin (A+B)/sin (A-B)]
#1 cause the slope is 7 and the y-intercept is -2
Answer:
<em><u>C=139.80</u></em>
Step-by-step explanation:
C=2πr
=2π(22.25)
=139.80
<em>C=</em><em>1</em><em>3</em><em>9</em><em>.</em><em>8</em><em>0</em>
21 is a rational number because it is an integer, which can be converted into a fraction.
<u>Step-by-step explanation:</u>
When a denominater and numerator are integers and gives a quotient then it is a rational number.
21/1, where 21 is denominator and 1 is numerator the quotient is 21. Therefore 21 is a rational number which can also be considered as a ratio.