Grade 11Trigonometry
cos x + cos y =1/3, sin x + sin y =1/4 then sin(x+y)a.25/7b.24/25
cos x + cos y =1/3, sin x + sin y =1/4 then sin(x+y)
a.25/7
b.24/25
1 Answer
Deepak Kumar Shringi
Approved Tutor Answer7 Years ago2 sin x+y/2 cos x-y/2 = 1/3
&
2 cos x+y/2 cos x-y/2 = ¼
Now divide
tan (x+y/2) = 4/3
Now
Sin(x+y) = 2 tan (x+y/2) /1 + tan² (x+y/2)
= (8/3) /(1 + 16/9)
= 24/25
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