Answer:
Value of x is 68°
Step-by-step explanation:
Given: sin ( x - 20 )° = cos 42°
To find: Value of x.
We know that cos ( 90 - x )° = sin x°
So, cos 42° = cos ( 90 - 48 )° = sin 48°
Now Consider,
sin ( x - 20 )° = cos 42°
from above
sin ( x - 20 )° = sin 48°
Since both trigonometric ratios are same. ⇒ Angle must be equal.
⇒ x - 20 = 48
x = 48 + 20
x = 68
68 ∈ ( 0 , 90 )
Therefore, Value of x is 68°