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
Answer:
length x width x height
Step-by-step explanation:
All work is shown in picture below.
Answer:
b=
Step-by-step explanation:
Considering the given figure the sides 'b' , '2' and '5' are making the sides of a right angled triangle in the top right corner of the square, where
Hypotenuse=5 , Perpendicular=b and Base=2
Using Pythagoras Theorem:
Implementing the values in the formula:
So, the value of 'b' is which is same for the the given 'b' in the figure.
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61 / 10
Decimal Form:
6.1
Mixed Number Form:
6 1/10
