Answer:
1
Step-by-step explanation:
CosASinB + SinACosB
Sin(A+B)
Sin(35+55) = Sin(90) = 1
Answer:
The coordinates of E are .
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.
Vectorially speaking, dilation is defined by the following operation:
(1)
Where:
- Point of reference.
- Original point.
- Dilated point.
- Dilation factor.
By applying this operation, point B becomes point D:
,
Lastly, we transform point C into point E by applying the same operation: , and
The coordinates of E are .
Answer:
see explanation
Step-by-step explanation:
Given
x + y + z = π
let
x = A , y = B , z = C , so
x = tanA, y = tanB , z = tanC
Substituting values
A + B + C = π ( subtract C from both sides )
A + B = π - C ( take tan of both sides )
tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )
= - tanC ( multiply both sides by 1 - tanAtanB )
tanA + tanB = - tanC( 1 - tanAtanB) ← distribute
tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )
tanA + tanB + tanC = tanAtanBtanC , that is
x + y + z = xyz
Answer:
62.5 %
Step-by-step explanation:
5 divided by 8 pretty much. I can't show the work on computer but do simple algorithm division. 5/8 is 0.625. The trick to find percentage is by moving the decimal two places to the right. so 62.5%