If CSC X = 4 in the quadrant 1, what is COS X?

cos(x)=(4^2-1^2)^(1/2). If your csc=4, then build your right triangle and if csc(x) is hyp/opposite, then you should get what i have put above. Hope this helps

if cscx = 4, sinx = 1/4

cos^2 = 1 - sin^2 = 15/16
cosx = √15 / 4

my mistake, I forgot to put the 4 underneath the sq root of 15

To find the value of COS X, we need to use one of the trigonometric identities. The reciprocal identity is commonly used in this scenario.

Reciprocal Identity: COS X = 1 / CSC X

Given that CSC X = 4, we can substitute this value into the equation:

COS X = 1 / CSC X = 1 / 4 = 0.25

So, the value of COS X is 0.25.

To find this value, you need to have knowledge of the reciprocal identity of trigonometric functions.