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babymother [125]
3 years ago
9

If tan0= 3/4, find csc0

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

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

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