<span>3sinx+4cosx=5
=> 3/5 sinx +4/5 cosx = 1
let cosA=3/5 => sinA=4/5
=> cosAsinx + sinAcosx = 1
=> sin(x+A) = 1
Now,
4sinx - 3cosx
= 5(4/5sinx - 3/5 cosx) [multipying numerator and denominator by 5]
= 5(sinAsinx - cosAcosx)
= -5{cos(x+A)} = -5[root{1-(sin(x+A)^2)}] = -5 x 0 = 0 Ans 0
TRICK: if asinx+bcosx is given then multiply numerator and denominator by root(a^2 +b^2)
this method is useful in many questions </span>
Answer:
3 one is the ans
Step-by-step explanation:
The formula for volume is V=1/2 L.W.H
Therefore the correct way to find the volume is (24)(18)(32)= 13,824 divided by two =
6,912 unit3
If Malcolm has driven 418 miles which is rounded to 420, and he has driven 384 miles which is rounded to 380, he has driven around 800 miles so far. Then you would subtract 800 from 1,273 you would get around 470 miles. That means Malcolm has 470 miles left to drive.
The formula for a directed line is:
X = K1(X2) + (K2(X1) / K3
Y = K1(Y2) + (K2(Y1) / K3
K1 = numerator = 2
K2 = denominator - numerator = 3-2 = 1
K3 = denominator = 3
X = (2(6) + 1(3)) /3
X = (12+3) / 3
X = 12/3
X = 5
Y = (2(11) + 1(2)) /3
Y = (22 + 2) /3
Y = 24/3
Y = 8
The point is (5,8)
