Question

if 5 sin A=3 then find the value of cosecA,cotA

Answer 1

Answer:

4/3

Step-by-step explanation:

goven; 5 sina = 3

now coseca = 1/sina = 5/3

Answer 2

The value of cosecA is 5/3 and cotA is 4/3.

Given,

The value of 5 sinA is 3.

To Find,

The value of cosecA and cotA.

Solution,

The given value of 5 sinA is 3

So,

5 sinA = 3

sinA = 3/5

Also,

sinA = perpendicular/Hypotenuse = 3/5

Now, using the Pythagoras theorem

Base = √(hypotenuse²-perpendicular²)

Base = √(5²-3²) = √25-9 = √16 = 4

Now,

cosecA = 1/sinA = 5/3.

cotA = Base/Perpendicular = 4/3

Hence, the value of cosecA is 5/3 and cotA is 4/3.

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