If `sinx+siny+sinz+sinw=-4" then the value of "sin^400x+sin^300y+sin^200z+sin^100w` is

Question

If `sinx+siny+sinz+sinw=-4" then the value of "sin^400x+sin^300y+sin^200z+sin^100w` is

If `sinx+siny+sinz+sinw=-4" then the value of "sin^400x+sin^300y+sin^200z+sin^100w` is
A. `sin^400x.sin^300y.sin^200z.sin^100w`
B. `sinx.siny.sinz.sinw`
C. 4
D. 3

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`sinx+siny+sinz+sinw=-4`
`rArrsinx=siny=sinz=sinw`
So,`sin^400x+sin^300y+sin^200x+sin^100w`
`=-(-1)^400+(-1)^300+(-1)^200+(-)^100=4`

5 views Answered 2023-02-05 15:29