sin(2<em>x</em>) - sin(<em>x</em>) = 0
Expand the first term using the double angle identity:
2 sin(<em>x</em>) cos(<em>x</em>) - sin(<em>x</em>) = 0
Factor out sin(<em>x</em>) :
sin(<em>x</em>) (2 cos(<em>x</em>) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(<em>x</em>) = 0 or 2 cos(<em>x</em>) - 1 = 0
sin(<em>x</em>) = 0 or cos(<em>x</em>) = 1/2
[<em>x</em> = 2<em>nπ</em> or <em>x</em> = <em>π</em> + 2<em>nπ</em>] or [<em>x</em> = <em>π</em>/6 + 2<em>nπ</em> or <em>x</em> = 5<em>π</em>/6 + 2<em>nπ</em>]
(where <em>n</em> is any integer)
Answer:
31/2
Step-by-step explanation:
The volume of the box is 105 cubic units.
<h3>What is volume of cuboid ?</h3>
The amount of space inside a cuboid is calculated using the term "cuboid volume." Having length, breadth, and height, the cuboid is a three-dimensional shape. A shape with a certain length, breadth, and height will be obtained if we start with a rectangular sheet and keep stacking them. Length x Width x Height is the formula for calculating the cuboid's volume.
Given that : The dimensions of her boxes to be 4 x 6 x 3 units.
The volume of cuboid=7×5×3=105 cubic units.
so ,The volume of the box is 105 cubic units.
To learn more about the volume of the cuboid visit:
brainly.com/question/23118276.
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Answer:We're looking for a,b such that
\dfrac{9x-20}{(x+6)^2}=\dfrac a{x+6}+\dfrac b{(x+6)^2}
Step-by-step explanation:
