Question

Given that sec(0) =25/7
and 0 is in Quadrant I, find csc(0) and tan(0).

Answer 1

Csc(0)=24/27 and Tan(0)= 24/7

Explanation:

We know that secant is the inverse of cos. So that Sec(x) = Cos^-1(x)= hypotenuse/adjacent. We now know that 25 is hypotenuse and 7 is the length of side adjacent to angle theta.

Given this information we can find the length of side opposite to theta, which has length 24.

Now we know:

Hypotenuse=27

Adjacent=7

Opposite=24

Csc is inverse of sin, so that scs=sin^-1=hypotenuse/opposite=27/24

and tan=opposite/adjacent=24/7