<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>
Step-by-step explanation:
1)x is less than 7
2)x is greater than and equal to -4
Step-by-step explanation:
When
z = 2
Then
5/z
= 5 / 2
= 2.5
Hope it will help :)
Answer:
Given : x/3-5=6
answer = 23
Step-by-step explanation:
x-5=6*3
x-5=18
x=18+5
x=23
2 hours is also 120 minutes
120/15=8
8 x 5=40
120+40=160
It will take her 160 minutes to finish, or 2 hours and 40 minutes