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sinx+siny+sinz+sin x=-4 then find the value of sin^400 x+sin^300 y+sin^200 z+sin^100 x. Can anyone give me hints on this sum.

sinx+siny+sinz+sin x=-4 then find the value of sin^400 x+sin^300 y+sin^200 z+sin^100 x. Can anyone give me hints on this sum.

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
2 years ago
Dear student

There is only one way ( sin x + sin y + sin z + sin x ) can be -4

Individually all values need to be -1

So,

Value of required expression is 1+1+1+1 = 4

Regards

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