Answer:
6 sqrt(2)
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 45 = 6 /x
Multiply each side by x
x sin 45 = 6
Divide each side by sin 45
x = 6 / sin 45
We know that sin 45 = sqrt(2)/2
x = 6 / (sqrt(2) /2)
x = 12/ sqrt(2)
Multiply by sqrt(2)/ sqrt(2)
x = 12 sqrt(2)/ (sqrt(2)*sqrt(2))
x = 12 sqrt(2)/2
x = 6 sqrt(2)
Answer:
sqrt(2)/2
Step-by-step explanation:
Given tan(x)=2-cot(x), find sin(x).
Rewrite in terms of sine and cosine:
sin(x)/cos(x)=2-cos(x)/sin(x)
Multiply both sides by cos(x)sin(x):
sin^2(x)=2sin(x)cos(x)-cos^2(x)
Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:
sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))
Distribute:
sin^2(x)=2sin(x)cos(x)-1+sin^2(x)
Subtracting sin^2(x) on both sides:
0=2sin(x)cos(x)-1
Add 1 on both sides:
1=2sin(x)cos(x)
Use identity sin(2x)=2sin(x)cos(x) to rewrite right:
1=sin(2x)
Since sin(pi/2)=1, then 2x=pi/2.
Dividing both sides by 2 gives x=pi/4.
So sin(pi/4)=sqrt(2)/2
Answer:
Your answer for F will be 13.
Step-by-step explanation:
Take 11.2 and add it to 1.8, and you will get 13 and 13 will be the variable (f). So, f (13) - 1.8 = 11.2
Hope this helps! :D
Answer:
$6.30 per DVD
Step-by-step explanation:
25.20/4= 6.3
Answer:
distribute parenthesis
Step-by-step explanation:
6(2x + 1) = 4x - 5 ← distribute parenthesis on left side
12x + 6 = 4x - 5 ( subtract 4x from both sides )
8x + 6 = - 5 ( subtract 6 from both sides )
8x = - 11 ( divide both sides by 8 )
x = - 
