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Question:
if sinX sinY sinZ=3 then write the value of cosX cosy cosZ
Answer:

Given, sin x + sin y + sin z = 3

Now, whatever the value of x, y and z, the value of sign function always lie in the interval [-1, 1]

So, sin x + sin y + sin z = 3 is possible only when sin x = sin y = sinz  = 1

=> sin x = sin y = sinz  = sin 90

=> x = y = z = 90

So, cos x + cos y + cos z = cos 90 + cos 90 + cos 90 = 0

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