Sin2x + cosx = cos2x - sinx

Explanation:

From sum and difference formulas

We have

sin

(

x

+

y

)

=

sin

x

cos

y

+

cos

x

sin

y

sin

(

x

−

y

)

=

sin

x

cos

y

−

cos

x

sin

y

sin

(

2

x

−

x

)

=

sin

2

x

cos

x

−

cos

2

x

sin

x

sin

x

=

sin

2

x

cos

x

−

cos

2

x

sin

x

So

sin

x

=

1

2

x

=

sin

−

1

(

1

2

)

=

π

6

,

5

π

6

have a nice day !

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