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

4/3

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

Answer 2

The answer is: "
`(4)/(3)` " .
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Step-by-step explanation:
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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)` " .
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The answer is: "
`(4)/(3)` " .
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