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Is the point 3/5 and 4/5 corresponds to an angle in the unit circle what is the csc

1 Answer

3 votes

Answer:

csc = 5/4

Explanation:

Assuming that the two given points 3/5 and 4/5 are the two sides of a triangle and a right angle 0 with legs x and y and z as its hypotenuse.

Then using Pythagoras Theorem:


z^2=x^2+y^2


z^2=((3)/(5) )^2+((4)/(5) )^2


z^2 = (9)/(25) + (16)/(25)


z^2=(25)/(25)


z^2=1

Taking square root on both the sides:


z=1

Now,
sin\alpha=(4)/(5)

and we know that
csc = (1)/(sin\alpha )

Therefore, csc = 5/4.

User Rohit P Soman
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