SOLUTION: with this (1) if sin p=3/5,and p is an acute angle,what is the value of tan p?

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Question 1195084: with this (1) if sin p=3/5,and p is an acute
angle,what is the value of tan p?

Found 3 solutions by ikleyn, Alan3354, MathTherapy:
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
with this (1) if sin p=3/5,and p is an acute
angle,what is the value of tan p?
~~~~~~~~~~~~~~~ 

Having given  sin(p) = 3/5,  you may interpret it as if you have a right-angled triangle 
with the hypotenuse of 5 units and the opposite leg of 3 units.


Then the adjacent leg is  sqrt%285%5E2-3%5E2%29 = sqrt%2816%29 = 4 units long.


Then tan(p) = opposite_leg%2Fadjacent_leg = 3%2F4.    ANSWER

Solved and explained.



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
with this (1) if sin p=3/5,and p is an acute
angle,what is the value of tan p?
-------------
cos%28p%29+=+sqrt%281+-+sin%5E2%28p%29%29+=+sqrt%281+-+9%2F25%29+=+sqrt%2816%2F25%29+=+4%2F5
---
tan = sin/cos = (3/5)/(4/5) = 3/4
======================
This can be "confirmed" with a calculator.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
with this (1) if sin p=3/5,and p is an acute
angle,what is the value of tan p?
 is representative of a 3-4-5 PYTHAGOREAM TRIPLE, with hypotenuse, 5, and 3 and 4, the legs.

Therefore, 4 = Longer leg = x = A (Adjacent)

With that, we get