Question

given sec (theta) = 3 what is the exact value of csc (90 - (theta))

Answer 1

csc(90-theta) = sec (theta).

The answer is 3.

Answer 2

how could you explain this in details please because this makes no sense

Answer 3

The "co" functions are shifts of the original functions by 90 degrees. So anytime you have any trigonometric function in which the argument is (90-theta), it is equal to the cofunction.

For example, sin(90-theta)= cos (theta)
cos(90-theta) = sin (theta)

And so on for the other 4.

Answer 4

http://www.mathwords.com/c/cofunction_identities.htm

A little better explanation.

Answer 5

your explanation was better thanks
however how do you go about solving it .. like i know its a complementary and stuff but whats the first step how do you go from their??