Answer:
x = 71.
Step-by-step explanation:
Given : sin x = cos 19°, where 0°< x < 90°.
To find : For what value of x .
Solution : We have given
sin x = cos 19°.
By the trigonometric rule sin x = cos ( 90 -x ).
We can write cos ( 90 -x ) in place of sin x.
cos ( 90 -x ) = cos 19°.
Then
90 - x = 19 .
On subtracting both sides by 90
-x = 19 -90 .
- x = -71.
On dividing by -1
x = 71.
Therefore, x = 71.
