I'm trying to find sin of (7pi/12) exactly using an angle of addition or subtraction formula could anyone help me

(√2 + √6)/4.

Step-by-step explanation:

Use the addition formula

sin (A+ B) = sinAcosB + cosAsinB

sin (7pi/12) =  sin( 3pi/12 + 4pi/12)

= sin(pi/4 + pi/3) =  sin pi/4 cos pi/3 + cos pi/4 sin pi/3

= 1/√2 * 1/2 + 1/√2 * √3/2     (using the 45-45-90 and 30-60-90 triangles)

= 1 / 2√2 + √3/2√2

=   √2/4 + √6/4

= (√2 + √6)/4

9514 1404 393

  no

Step-by-step explanation:

The volume of each cylinder is given by ...

  V = πr²h

The volume of the holding tank is ...

  V = 3.14(6 ft)²(16 ft) = 1808.64 ft³

The volume of the containment is ...

  V = 3.14(8 ft)²(4 ft) = 803.84 ft³

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The containment will not hold all the fuel. The radius of the containment would have to be 12 ft to have the same volume as the holding tank.