If sinx = 5/13 and x is in quadrant 1, then sin x /2 =
a. - sqrt(5/26)
b. sqrt(5/26)
c. - sqrt(1/26)
d. sqrt(1/26)

Hence, the value of:

Step-by-step explanation:

We are given a trignometric formula for the given angle 'x' as:

So, we consider a right  triangle such that it's perpendicular side is 5 units and the hypotenuse is 13 units.

Hence, we get the third side of the triangle i.e. CB using the Pythagorean Theorem as:

Hence,

Now, we know that:

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz