Pi/6 = 180°/6 = 30°
This produces a triangle that has 30-60-90 angles.
Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1
Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3
Answer:
The other endpoint is located at (-4,-2)
Step-by-step explanation:
we know that
The diagonals of a rhombus bisect each other
That means-----> The diagonals of a rhombus intersect at the midpoint of each diagonal
so
The point (0,4) is the midpoint of the two diagonals
The formula to calculate the midpoint between two points is equal to

we have


substitute

<em>Find the x-coordinate
of the other endpoint</em>


<em>Find the y-coordinate
of the other endpoint</em>



therefore
The other endpoint is located at (-4,-2)
Answer looking for the part of the proof that is wrong
They switched the right angles with their opposite
See picture, that’s the best way I could show you without typing the whole thing over
Switch the two Right angles in the sentence
8x + 13 = -3
8x is 8 times a number
+13 is thirteen more than
= - 3 is -3
Answer:
x = 3
Explanation:
Let's first start with the front triangle.
This one is an isosceles right-angled triangle. This means that it has special side lengths of: s , s and s√2 with s√2 being the hypotenuse.
Since we have the hypotenuse = 6√2 units
Therefore, each of the other two sides would be of length = 6 units
Now, let's consider the side triangle.
This one is also a right-angled triangle. This means that special trigonometric functions can be applied.
These functions are:
sin (θ) = opposite / hypotenuse
cos (θ) = adjacent / hypotenuse
tan (θ) = opposite / adjacent
Now, we have:
θ = 60°
adjacent side = x
hypotenuse = 6 units (calculated from the previous step)
Substitute with the givens in the cos function to get the value of x as follows:
cos (60) = x / 6
x = 6 * cos(60)
x = 3 units
Hope this helps :)