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5 votes
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.

2 Answers

1 vote
4/3

You know this because the ratios above reveal that the opposite side is 4 and adjacent side is 3.
User Denis Mazourick
by
7.7k points
5 votes
The answer is: "
(4)/(3)
" .
______________________________________________________
Step-by-step explanation:
______________________________________________________
Note: tan z = (sin z/ cos z) ;

tan z = (4/5) / (3/5) ;

=
(4)/(5) *
(5)/(3) ;
Note: Both of the "5 ' s" cancel out to "1" ; since: "{5 ÷ 5 = 1 }" ;

And we rewrite as:

→ "
(4)/(1) *
(1)/(3) " ;

=
((4*1))/((1*3)) ;

= "

(4)/(3)
" .
_______________________________________________________
The answer is: "

(4)/(3)
" .
_______________________________________________________
User Hassan Mahmood
by
8.7k points

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