Tan ( A - B ) = ( tan A - tan B ) / ( 1 + tan A tan B )
tan A = 3 tan B/2
tan ( A - B ) = ((3 tan B/ 2)-tan B) / ( 1 + 3 tan² B/2)=
= (tan B/2) / ( 2 + 3 sin²B/cos²B )=
= (sin B / cos B) / (( 2cos² B+3sin²B)/cos²B)=
=( sin B cos B ) / ( 2 cos²B + 3 ( 1 - cos² B ) ) =
= (sin B cos B ) / ( 2 cos² B + 3 - 3 cos² B ) =
= ( sin 2 B ) / 2 ( 3 - cos² B ) =
= ( sin 2 B ) / ( 6 - cos² B )=
= ( sin 2 B ) / ( 5 + 1 - 2 cos² B )=
= ( sin 2 B ) / ( 5 + sin² B + cos ² B - 2 cos² B ) =
= ( sin 2 B ) / ( 5 - ( cos² B - sin² B ) ) =
= ( sin 2 B ) / ( 5 - cos 2 B ) - correct

8 0

3 years ago

Diana is painting statues. She has 7/8 fraction of a gallon of paint remaining. Each statue requires 1/6 of a gallon of paint. h

fomenos

She can paint almost 7 statues - 6.86 statues.

7/8 ÷ 1/6

21/24 ÷ 4/24

21/24 * 24/4 = 576/84

576 / 84 is approximately 6.86.

4 0

3 years ago

The following table shows the number of fire hydrants in each neighborhood overseen by District 9

choli [55]

Answer:

where is the table

Step-by-step explanation: