<span>tan(15) =
sin(15) / cos(15) =
sin(45 - 30) / cos(45 - 30) =
[ sin(45)cos(30) - sin(30)cos(45) ] / [ cos(45)cos(30) + sin(45)sin(30)]
Since sin(45) = cos(45) = √2/2, you can just factor that out from the top and bottom
[ cos(30) - sin(30) ] / [ cos(30) + sin(30)]
[ √3/2 - 1/2 ] / [ √3/2 + 1/2]
(√3 - 1) / (√3 + 1)
(√3 - 1)^2 / (√3+1)(√3 - 1)
(√3 - 1)^2 / (3 - 1)
(3 - 2√3 +1) / 2
2 - √3
There's also a formula for tan(a-b), but I couldn't remember it off hand.</span>
Answer:
is the equal sign supposed to be there? if it wasnt then answer would be 42x^6y^11
Step-by-step explanation:
Answer:
Step-by-step explanation:
Points are (0,-2)(3,0)
Slope intercept form is y=2/3x-2
Answer:
B. 7.5 hours
Step-by-step explanation:
Assuming that both hoses fill at the same rate, then by simple proportion,
To raise the pool by 1 foot of water:
1 hose ---> takes 3 hours
2 hoses ----> fills twice as fast ---> will take half the time ---> 3/2 = 1.5 hrs
Hence with 2 hoses, it will take 1.5 hours to fill 1 foot of water.
to fill 5 feet of water, we will need 1.5 hours x 5 feet = 7.5 hours
Answer:
-（1/4）
Step-by-step explanation:
