LILYTH8413
19.07.2019 •
Mathematics
If sinx = 0.6, and x is in quadrant ii, then what is the value of cosx?
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Ответ:
sin X=0.6
Thus implies that:
x=arcsin 0.6
x=36.97
given that X is in the Quadrant ii then the value of x will be:
180-36.97
=143.13
hence cos X will be:
cos X=cos 143.13
cos X=-0.8
Ответ:
cos(x)= -0.8
Step-by-step explanation:
If sinX = 0.6, and X is in Quadrant II,
sin(x)= 0.6 = 6/10
sin (x)= opposite side / hypotenuse
opposite side = 6 and hypotenuse = 10
use Pythagorean theorem
c^2 = a^2 + b^2
10^2 = 6^2 +b^2
100 = 36 + b^2
Subtract 36 from both sides
64= b^2
b= 8
Adjacent side = 8
Cos(x)= adjacent side / hypotenuse
cos(x)= 8/10= 0.8
Cos is negative in second quadrant
so cos(x)= -0.8
Ответ: