Question #2cb7b

1 Answer
Oct 3, 2016

Thus, the Solns. are, x_0, x_1, where,

x_0=0.20002668410486868394424635483808^c, &,

x_1=sqrt(pi-(x_0)^2.

Explanation:

sinx^2=1/25=0.04

Using Calculator, we find that,

x^2=0.0400106743539889262206207193469.

:. x=0.20002668410486868394424635483808^c,

where, ^c denotes Radian Measure.

Let us denote, by

x_0=0.20002668410486868394424635483808^c,

then, the other solns. in [0,2pi] is, (x_1)^2=pi-(x_0)^2.

Thus, the Solns. are, x_0, x_1, where,

x_0=0.20002668410486868394424635483808^c, &,

x_1=sqrt(pi-(x_0)^2).

As Respected Zor Shekhtman has pointed out, I have missed two

more solns., which I add here, in his words :

In both cases, for x_0 and x_1, the corresponding negative values are solutions as well: -x_0 and -x_1.
.