If cscθ = 5/4, then cosθ = _____.
I thought the answer was 4/5, but I think its wrong

Question

If cscθ = 5/4, then cosθ = _____.
I thought the answer was 4/5, but I think its wrong

imstuck · Answer

csc is the reciprocal of sin, not cos.

imstuck · Answer

csc theta = 5/4, then sin theta = 4/5.  Lets look at that:

imstuck · Answer

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imstuck · Answer

You need to find the value of x before you can find the cos theta.  Cos is side adjacent over hypotenuse, and x is the adjacent side.  You need to solve that right triangle for x.  Can you do that?

anonymous · Answer

so would it b3 3/4?

imstuck · Answer

Yep!  3/4 is the cos of that angle.  Good!

anonymous · Answer

awesome!

imstuck · Answer

No, wait,...it's not 3/4 it's 3/5.

imstuck · Answer

The hypotenuse is 5 not 4...my oversight mistake.  Sorry.  x does = 3, but cos is the side adjacent (3) over the hypotenuse (5).  3/5

anonymous · Answer

oho okay!

imstuck · Answer

So sorry...hoped to catch you in time!

anonymous · Answer

you did! thanks!

imstuck · Answer

You're welcome!