The tangent function is equal to the sine divided by the cosine. In quadrant III, both sin and cos are negative - and a negative divided by another negative is positive. Thus it follows that the tangent is positive in QIII.
Tangent and cotangent positive; other 4 negative.
The tangent and cotangent functions.
There are four quadrants. They are represented by Roman numerals : I(one), II(two), III(three), IV(four). The first quadrant contains all positive points , (+x, +y) The second quadrant contains negative x's and positive y's , (-x, +y) The third quadrant is all negative , (-x, -y) The fourth quadrant has negative y's and positive x's , (+x, -y)
The value of tan and sin is positive so you must search quadrant that tan and sin value is positive. The only quadrant fill that qualification is Quadrant 1.
Quadrant angles are angles formed in the coordinate plane by the x-axis and y-axis. Each quadrant is a region bounded by the x-axis and y-axis, and is numbered counterclockwise starting from the positive x-axis. The angles in each quadrant have specific characteristics based on their trigonometric ratios, such as sine, cosine, and tangent values. In trigonometry, understanding quadrant angles is crucial for determining the sign of trigonometric functions and solving equations involving angles.
Tangent and cotangent positive; other 4 negative.
The tangent and cotangent functions.
There are four quadrants on a coordinate graph. They are labeled as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV, each representing different combinations of positive and negative values for the x and y coordinates. Quadrant I has both coordinates positive, Quadrant II has a negative x and positive y, Quadrant III has both negative coordinates, and Quadrant IV has a positive x and negative y.
Quadrant I: x positive, y positive. Quadrant II: x negative, y positive. Quadrant III: x negative, y negative. Quadrant II: x positive, y negative.
In the third quadrant, both the x and y coordinates are negative. Since tangent is defined as the ratio of the opposite side to the adjacent side in a right triangle, in the third quadrant where both sides are negative, the tangent of an angle theta will be positive. Therefore, tan theta is not negative in the third quadrant.
Quadrants I and III. In Quadrant I, the values are both positive. In Quadrant III, the values are both negative.
Quadrant I: Top Right: x positive, y positive Quadrant II: Top Left: x negative, y positive Quadrant III: Bottom Left: x negative, y negative Quadrant IV: Bottom Right: x positive, y negative
The quadrants where the x-coordinates and y-coordinates have the same sign are Quadrant I and Quadrant III. In Quadrant I, both x and y are positive, while in Quadrant III, both x and y are negative.
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The top left quadrant is II (2) (x is negative, y is positive) The top right quadrant is I (1) (x is positive, y is positive) The bottom left quadrant is III (3) (x is negative, y is negative) The bottom right quadrant is IV (4) (x is positive, y is negative)
y is positive in quadrants I and II and negative in III and IV.
Quadrant I (x, y) Quadrant II (-x, y) Quadrant III (-x, -y) Quadrant IV (x, -y) Where x and y are both positive numbers.