Math, asked by deep017891212, 8 months ago

If cos x + x sin x = 2,
then x =​

Answers

Answered by Anonymous
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

)

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