SOLUTION: in the right triangle ABC, C is the right angle and sinA=√ 3/2. what is the value of csc B?

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Question 447463: in the right triangle ABC, C is the right angle and sinA=√ 3/2. what is the value of csc B?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

in the right triangle ABC, C is the right angle and sinA= sqrt%283%29%2F2

sinA = opp/hyp

Letting x represent the other side

applying the Pythagorean Theorem

 sqrt%283%29%5E2+%2B+x%5E2+=+2%5E2

         x^2 = 4-3

         x  = 1   (tossing out negative solution for length)

 sinB = opp/hyp = 1/2  and cscB = 1/sinB = 2