Find the Value of is (x – y)
If sin (60 – x) = cos (y + 60) then the value of is sin(x – y) is
- 1/√2
- 1/2
- √3/2
- 1
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.
