If y= arctan x and x<0 then y lies in what quadrant ?
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In the co-ordinate axis, if the angle subtended at the origin is θ, then tanθ = y/x. tanθ will be negative when x will be negative of y will be negative. Now decide in which quadrant the angle will be?
tanθ will be negative when x will be negative of y will be negative. when x < 0 and y > 0 or y < 0 and x > 0. Also, one must take into account that arctan returns angles between and .
Hello, hoanghai549! We have: . The tangent function is negative in Quadrants 2 and 4.
Originally Posted by Soroban Hello, hoanghai549! We have: . The tangent function is negative in Quadrants 2 and 4. Could you elaborate it in detail ? I have confused on it .
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