Answer:

Step-by-step explanation:
Given that  is a right angled triangle.
 is a right angled triangle.

and

Kindly refer to the attached image of  in which all the given angles are shown.
 in which all the given angles are shown.
To find:
sin(38°) = ?
a) cos(38°)
b) cos(52°)
c) tan(38°) 
d) tan(52°)
Solution:
Let us use the trigonometric identities in the given  .
.
We have to find the value of sin(38°).
We know that sine trigonometric identity is given as:

 ....... (1)
....... (1)
Now, let us find out the values of trigonometric functions given in options one by one:

 ....... (2)
....... (2)
By (1) and (2):
sin(38°)  cos(38°).
 cos(38°).
 ...... (3)
 ...... (3)
Comparing equations (1) and (3):
we get the both are same.
