Question

csc(cos^-1 7/25)

is the answer 25/24??

Answer 1

How can you get this without a calculator?

Answer 2

Assume cos^-1 7/25 = theta

Answer 3

this says basically if cosine of your number is 7/25, then what is the cosecant of your number
cosine is 7/25, by pythagoras sine is 24/25 so yes, that means cosecant is 25/24

Answer 4

cos theta = 7/25

Answer 5

ok

Answer 6

so what's csc theta?

Answer 7

ohh I need to put cos 7/25 in pyth identity

Answer 8

get sin, then put 1 over sin

Answer 9

yes, then find sin theta and take the reciprocal

Answer 10

right, or even hypotenuse over opposite if you draw a triangle

Answer 11

omg! so easy. Thanks guys!

Answer 12

i wish my math book said that

Answer 13

only difference between these problems and ones you have done before is the wording.

now you are asked for \(\csc(\cos^{-1}(x))\) before you were asked
"if cosine x = something, then what are the other trig functions?"

it is the same problem really

Answer 14

that makes total sense, thanks