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What will be the value of x + y + z if cos-1 x + cos-1 y + cos-1 z = 3π?
- a)-3
- b)1
- c)3
- d)-1/3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What will be the value of x + y + z if cos-1x + cos-1y + cos-1z = 3&pi...
The equation is cos-1 x + cos-1 y + cos-1 z = 3π
This means cos-1 x = π, cos-1 y = π and cos-1 z = π
This will be only possible when it is in maxima.
As, cos-1 x = π so, x = cos-1 π = -1 similarly, y = z = -1
Therefore, x + y + z = -1 -1 -1
So, x + y + z = -3.
This means cos-1 x = π, cos-1 y = π and cos-1 z = π
This will be only possible when it is in maxima.
As, cos-1 x = π so, x = cos-1 π = -1 similarly, y = z = -1
Therefore, x + y + z = -1 -1 -1
So, x + y + z = -3.
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Community Answer
What will be the value of x + y + z if cos-1x + cos-1y + cos-1z = 3&pi...
The value of cos^-1(x) represents the angle whose cosine is x.
Since cos^-1(x) = 3, it means that the angle whose cosine is x is equal to 3 radians.
Therefore, x = cos(3) ≈ -0.98999.
Similarly, y = cos(3) and z = cos(3).
So, the values of x, y, and z are approximately -0.98999.
Since cos^-1(x) = 3, it means that the angle whose cosine is x is equal to 3 radians.
Therefore, x = cos(3) ≈ -0.98999.
Similarly, y = cos(3) and z = cos(3).
So, the values of x, y, and z are approximately -0.98999.
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