Find the Value of is (x – y)

If sin (60 – x) = cos (y + 60) then the value of is sin(x – y) is

  1. 1/√2
  2.  1/2
  3.  √3/2
  4.  1
Sarif Default Asked on 22nd July 2015 in Maths.
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1 Answer(s)

Answer: (2) 1/2
Explanation:-
sin (60 – x) = cos (Y + 60)
sin (60 – x) = sin [90 – (Y  + 60)]
60 – x = 90 – Y – 60
y – x = 30 – 60
y – x = – 30
x – y = 30
Then, sin (x – y) = sin 30 = 1/2
Hence, the answer is (2) 1/2.

Anurag Mishra Professor Answered on 23rd July 2015.
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