Answer: 5/3
Step-by-step explanation:
This is a trigonometry ratio. Tangent of a right angle triangle
Tan0° = opposite
------------
adjacent.
Now from the question
Tan0° = 3/4 meaning that the opposite side is 3 while the adjacent side is 4. Going by the triple coordinate, when two of the sides of a right angle triangle are, 3 and 4, the third side should be 5, in other words you could as well use the Pythagoras theorem to find the other side which I believed you should be familiar with. Since the third side is known, the cosec could be calculated.
Cosec of an angle =
1/sine. From the question now,
Sine0° = opposite side
-----------------
Hypothesis
= 3/5
Therefore
Cosec0° = 1/3/5
= 1
---
3/5
= 5/3
