Respuesta :

HomertheGenius
sin ( x - 20° ) = cos 42°
sin ( x - 20° ) = sin ( 90° - 42° )
sin ( x - 20° ) = sin 48°
x - 20° = 48°
x = 48° + 20°
x = 68°
Answer: C ) 68°

Answer

Find out the value of x.

To prove

As given

sin (x - 20°) = cos 42°

Now using the property .

cos y =  sin (90 - y )

Thus

sin (x - 20°) = sin (90° - 42°)

x - 20° = 48°

x = 48° + 20°

x = 68°

Therefore the value of x is 68° .

Option (D) is correct.

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