Question

Given sin z=4/5 and cos x=3/5. What is the ratio for tan z? Enter your answer in the boxes as a fraction in simplest form.

Answer 1

The answer is:  "  $\frac{4}{3}$ " .
______________________________________________________
Explanation:
______________________________________________________
Note:  tan z = (sin z/ cos z) ;

           tan z = (4/5) / (3/5) ; 

                    = $\frac{4}{5}$ * $\frac{5}{3}$ ; 
Note:  Both of the "5 ' s" cancel out to "1" ;  since:  "{5 ÷ 5 = 1 }" ;

And we rewrite as:

→    " $\frac{4}{1}$ * $\frac{1}{3}$ "  ;

 =  $\frac{(4*1)}{(1*3)}$ ;

 =  " $\frac{4}{3}$ " .
_______________________________________________________
The answer is:  "  $\frac{4}{3}$ " .
_______________________________________________________

Answer 2

4/3

You know this because the ratios above reveal that the opposite side is 4 and adjacent side is 3.