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How do you get the exact value of cos 135?
The magnitude of cos(135°) is the same as that of cos(45°) [cos(180° - 135°)], and the sign is negative because it is in the second quadrant of the Cartesian plane, so it's the reciprocal of the negative square root of two, about -0.707. The cosines of 2nd- and 3rd-quadrant angles are negative, and the sines of 3rd- and 4th-quadrant angles are negative.
What are the coordinates of a point that could be in each of the four quadrants?
The coordinates must be as follows: First quadrant: positive, positive Second quadrant: negative, positive Third quadrant: negative, negative Fourth quadrant: positive, negative
What quadrant is 5 and negative 8?
It is in quadrant IV.
How do you solve sine theta equal to negative one half?
Consider angles in standard position, and note that for the equation sin θ = 0.5, the angle in the first quadrant is θ = 30° The sin function is positive in quadrants I and II, and negative in quadrants III and IV, so there are two basic answers, one in quadrant III and another in quadrant IV. In quadrant III, the angle is 180° + 30° = 210° In quadrant IV, the angle is 360° - 30° = 330° Of course, this is a wave function so there are an infinite number of answers. You can add full circles (i.e. multiples of 360°) to either of these answers to get more answers. In quadrant III, the angles are 210°, 570°, 930°, ... In quadrant IV, the angles are 330°, 690°, 1050°, ...
Is the 1st quadrant negative or positive?
1st quadrant is +x and +y.
How do you get the exact value of cos 135?
The magnitude of cos(135°) is the same as that of cos(45°) [cos(180° - 135°)], and the sign is negative because it is in the second quadrant of the Cartesian plane, so it's the reciprocal of the negative square root of two, about -0.707. The cosines of 2nd- and 3rd-quadrant angles are negative, and the sines of 3rd- and 4th-quadrant angles are negative.
What are the quadrant angles?
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.
Which angle has a negative sine and a positive cosine?
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
What is a quadrant of negative 2 and negative 7?
Quadrant 3.
In which quadrant will the value of x be negative?
The value of x will be negative in the bottom left quadrant (quadrant 3) and the top left quadrant (quadrant 2).
Why is cosine negative in the third quadrant?
On a Unit Circle, the cosine is the x coordinate of the point on the circle represented by an angle. Angles greater than 90° (pi/2 radians) and less than 270° (3*pi/2 radians) are to the left of the y-axis, so x is negative. Quadrant I is the upper right quadrant (x positive, y positive) 0° < ɵ < 90° Quadrant II is the upper left quadrant (x negative, y positive) 90° < ɵ < 180° Quadrant III is the lower left quadrant (x negative, y negative) 180° < ɵ < 270° Quadrant IV is the lower right quadrant (x positive, y negative) 270° < ɵ < 360°
What are the x and y for each quadrant on a graph?
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 what quadrant is cosine negative and cotangent negative?
The second quadrant (top left).
What are the coordinates of a point that could be in each of the four quadrants?
The coordinates must be as follows: First quadrant: positive, positive Second quadrant: negative, positive Third quadrant: negative, negative Fourth quadrant: positive, negative
What quadrant is a point that has a negative x coordinate and a negative y coordinate is located in?
The quadrant where a point has a negative x coordinate and a negative y coordinate is located in quadrant 3.
What quadrant is 5 and negative 8?
It is in quadrant IV.
How do you solve sine theta equal to negative one half?
Consider angles in standard position, and note that for the equation sin θ = 0.5, the angle in the first quadrant is θ = 30° The sin function is positive in quadrants I and II, and negative in quadrants III and IV, so there are two basic answers, one in quadrant III and another in quadrant IV. In quadrant III, the angle is 180° + 30° = 210° In quadrant IV, the angle is 360° - 30° = 330° Of course, this is a wave function so there are an infinite number of answers. You can add full circles (i.e. multiples of 360°) to either of these answers to get more answers. In quadrant III, the angles are 210°, 570°, 930°, ... In quadrant IV, the angles are 330°, 690°, 1050°, ...
