if cos x + cos y=2 then find sin x + sin y
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Answered by
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if x or y is a real no:
→max. value of Cos x = max. value of Cos y =1
i.e, Cos x + Cos y =2→1+1=2
Now When Cos a =1 Sin a= 0 [a=0°]
and when Cos a =0 Sin a =1 [a=90°]
so Here Cos x and Cos y are both 1
so Sin x and Sin y must be 0
→ Sin x + Sin y =0 [0+0=0]
→max. value of Cos x = max. value of Cos y =1
i.e, Cos x + Cos y =2→1+1=2
Now When Cos a =1 Sin a= 0 [a=0°]
and when Cos a =0 Sin a =1 [a=90°]
so Here Cos x and Cos y are both 1
so Sin x and Sin y must be 0
→ Sin x + Sin y =0 [0+0=0]
Answered by
1
Given that . Since , the above equation gives .
Since
Similarly,
Hence,
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