Answer:
x and y are 5.66 units
Step-by-step explanation:
The triangle above is a right angled triangle ; and can be solved using trigonometric relation :
Using :
Sin 45 = opposite / hypotenus
Opposite = y ; hypotenus = 8
Sin 45 = y/8
y = sin 45 * 8
y = 5.66 units
Side length x ;
Sin 45 = opposite / hypotenus
Sin 45 = x / 8
x = sin 45 * 8
x = 5.66 units
Answer:
Step-by-step explanation:
By interior angle property on one side of the transversal.
The answer to this is 58 in
Yes the answer is not 4/7 its 7/4
Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
