Answer:
sin²2θ. (cos θ sin θ). cos 2θ
Step-by-step explanation:
finding g'(x)
g'(x)
= 4 (cosθsinθ)³ . { cosθ. (sinθ)' + sinθ. (cosθ)' }
- (cosθ)' = - sinθ
- (sinθ)' = cosθ
= 4 (cosθsinθ)³ { cosθ. cos θ + sinθ.(-sin θ)}
= 4 (cosθsinθ)³{ cos²θ - sin²θ}
- cos²θ - sin²θ = cos 2θ
- 2sinθ cosθ = sin 2θ
= (4 cosθ sinθ)². (cosθ sinθ). { cos²θ - sin²θ}
= <u>sin²2θ. (cos θ sin θ). cos 2θ</u>
Answer:
h=0.344
Step-by-step explanation:
4.52-5h=2.8
Subtract 4.52 from both sides
-5h=-1.72
Divide -5 from both sides
h=0.344
The length of the rope was
yard
Jeff cut the rope into 3 pieces.
Each piece is a different length measured in eighths of a yard which means that the denominator of each piece should be same which is 8
As each piece is of different length so the numerator of each piece will be different.
But the total of the numerator should be 6
So the numerators will be 1, 2 and 3
Since 1 + 2 + 3 = 6
So length of each piece will be
yard
yard
and
yard