Question

Given sec0=29/21 and sin0>0 find csc0

Answer 1

csc theta = 29/30

Explanation:

sec theta = hypotenuse/adjacent = 29/21

where hypotenuse = 29 and adjacent = 21

We can use these values and Pythagorean theorem to find the value of the opposite side:

(opposite)^2 = (hypotenuse)^2 - (adjacent)^2

= (29)^2 - (21)^2

= 400

or

opposite = 20

Therefore,

csc theta = hypotenuse/opposite = 29/20