If cos x + x sin x = 2,
then x =
Answers
Answered by
3
Step-by-step explanation:
cosx=
sinx
=0
cosx=
sinx
Squaring on both sides
cos
2
x=sinx
[∴cos
2
x=1−sin
2
x]
1−sin
2
x=sinx
sin
2
x=sinx
sin
2
x+sinx−1=0
Let sinx=y
y
2
+y−1
2(1)
−1±
(1)
2
−4(1)(−1)
y=
2
−1±
5
sinx
=
2
−1−
5
∣ sinx=
2
−1+
5
=−1.6
since sinx lies between −1 and 1 ∴sinx=
2
5
−1
x=sin
−1
(
2
5
−1
)
Similar questions