A supplementary angle is an angle in which two of it's measurements can be added to equal 180 degrees.
For example, a measure of 130 and a measure of 50 in the same shape.
They can both be added to equal 180.

7 0

3 years ago

Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?

vladimir1956 [14]

$tan(4x- \pi )= \frac{sin(4x- \pi )}{cos(4x- \pi )}$

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0

cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2

4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8

4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2

4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8

Asymptotes are π/8 and 3π/8

4 0

4 years ago

In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.

DanielleElmas [232]

Answer: $67.68^{\circ}$

Step-by-step explanation:

Given

$\angle W=90^{\circ}$

$VW=32\ ft$

$WU=78\ ft$

from the figure, we can write

$\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}$

7 0

3 years ago