Question

Look at the figure.

The figure shows a right angle triangle ABC with angle ACB equal to 90 degrees, angle ABC is x degrees and the length of side AB is 4y centimeters. The length of AC is 3 centimeters.

If cosec x degree is equal to 3 by 2 , what is the value of y?
Answer

1 by 4

1 by 2

4 by 3

8 by 3

Answer 1

sin(x) = 4y/3

cosec = 1/sin

so

cosec(x) = 3/4y


given cosec(x) = 3/2

then 4y = 2

y = 1/2