Question 1210628
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Please help me to solve this equation. If sin p=3/5 and p is an acute angle, what is the value of tan p ?
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<pre>
Since 'p' is an acute angle, it is in first quarter.


So, we can think about a right-angled triangle, in which 'p' is one angle 
and '3' is the opposite leg, while '5' is the hypotenuse.


Then the adjacent leg is  {{{sqrt(5^2-3^3)}}} = {{{sqrt(25-9)}}} = {{{sqrt(16)}}} = 4.


Hence,  tan(p) is the ratio  {{{opposite_leg/adjacent_leg}}} = {{{3/4}}}.


At this point, the solution is complete,

and the  <U>ANSWER</U>  is  tan(p) = {{{3/4}}}.
</pre>

Solved.