Answer:
![\sin \theta=-\frac{4}{5}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D-%5Cfrac%7B4%7D%7B5%7D)
Step-by-step explanation:
Given:
Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).
So, the 'x' value is 3 and 'y' value id -4.
Using Pythagoras Theorem, we find the hypotenuse.
Hypotenuse = ![\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5](https://tex.z-dn.net/?f=%5Csqrt%7B3%5E2%2B%28-4%29%5E2%7D%3D%5Csqrt%7B9%2B16%7D%3D%5Csqrt%7B25%7D%3D5)
Now, using the sine ratio for the angle, we have
![\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cfrac%7BOpposite%7D%7BHypotenuse%7D%5C%5C%5Csin%20%5Ctheta%3D%5Cfrac%7B-4%7D%7B5%7D%5C%5C%5Csin%20%5Ctheta%3D-%5Cfrac%7B4%7D%7B5%7D)
Therefore, the value of
is
.
The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,
Answer:
x=1
Step-by-step explanation:
3/2+1/2x=2x
or,3*1+1*1x/2=2x
or,4x/2=2x
or,4x-2x=2
or,x=2/2
so,x=1
The best answer is C : The sum of the measures of two angles os 180 degrees .
Are you sure you put this right?
None of those are prime numbers.