Quadrant I: Both x and y coordinates are positive. Quadrant II: The x-coordinate is negative and the y-coordinate is positive. Quadrant III: Both the x and y coordinates are negative.Fourth quadrant: positive x coordinate, negative y coordinate.

What is positive in the fourth quadrant?

In the fourth quadrant, the value is cos only positive numbers. This can be summed up as follows: In the fourth quadrant, Cos is positive, in the first quadrant, All is positive, in the second quadrant, Sin is positive, and in the third quadrant, Tan is positive. It’s easy to remember because it’s spelled « cast ».

Which quadrant does 4 belong to?

The first quadrant has both positive x and y coordinates.This The fourth quadrant has a positive x-coordinate but a negative y-coordinate. A given point lies on the boundary between these quadrants, where the x-coordinate is positive and the y-coordinate is always 0; it is called the positive x-axis.

Is the sine function in quadrant 4 positive?

Sine and cosecant are positive in quadrant 2, tangent and cotangent are positive in quadrant 3, and cosine and cosine are positive in quadrant 3. secant Positive in quadrant 4.

Is the hypotenuse of the fourth quadrant negative?

In the fourth quadrant, the hypotenuse and adjacent sides are positive, while Negative. This means that only cosines and their inverse secants are positive.

Explain why the angles sine, cosine, and tangent are positive or negative in different quadrants.

43 related questions found

Can a triangle have negative sides?

The Pythagorean theorem is used to find the sides of a right triangle. …note that we didn’t include -17 as a solution because Negative numbers cannot be sides of a triangle.

Why is sin positive in the second quadrant?

Since the sine is the second coordinate on point P, it will be positive whenever the point is above the x-axis. This means quadrants 1 and 2. These are the 2 quadrants above the x-axis.

In which quadrant is Sinθ negative?

Thus, in Quadrant Twocos(θ) < 0, sin(θ) > 0 and tan(θ) < 0 (sine). For angles in the third quadrant, the x and y coordinates of point P are negative. Therefore: in quadrant III, cos(θ) < 0, sin(θ) < 0 和 tan(θ) > 0 (tangent).

What are the quadrants of sin positive and tan negative?

For angles with terminal arms Quadrant Two, since the sine is positive and the cosine is negative, the tangent is negative. For angles with terminal arms in quadrant III, since the sine is negative and the cosine is negative, the tangent is positive.

In which quadrant is point 3/4?

because third quadrant has a point of the form (-x,-y), so our point (-3,-4) is in the third quadrant.

Is the third quadrant positive or negative?

In quadrant I, the x and y coordinates are positive; in quadrant II, the x coordinate is negative, but the y coordinate is positive; in quadrant II III are all negative; In the fourth quadrant, x is positive and y is negative.

What is Quadrant 1?

Quadrant 1: The first quadrant is in the upper right corner of the plane. both x and y have positive values ​​in this quadrant. Quadrant II: The second quadrant is located in the upper left corner of the plane. X has negative values ​​in this quadrant, while y has positive values.

Which trigonometric functions in quadrant 4 are positive?

Finally, in the fourth quadrant, only cosine and secant is positive.

What quadrants are there in the abdomen?

The abdomen can also be divided into four quadrants called Upper right, upper left, lower right, lower left quadrant. These quadrants are often abbreviated as RUQ, LUQ, RLQ, and LLQ, respectively.

Where is the positive cotangent?

exist third quadrant« Trig », only the tangent and its reciprocal cotangent functions are positive.

What is sin360 Theta?

(360 – θ) In the trigonometric ratio of 360 minus theta (360 – θ), the terminal sides of the common-ended angles coincide, so they have the same trigonometric ratio. sin(-θ) = – sin theta cos (- θ ) = cos θ

What quadrant is the sec theta less than 0?

This is at Quadrant III (QIII)so QIII answers your question.

Why is sin a negative number in the third quadrant?

The sine ratio is y/r, and the hypotenuse r is always positive.So the sine will be negative when y is negative, which occurs in the third and fourth quadrants. … In the third quadrant, both x and y are negative, so both x/r and y/r are negative; only y/x is positive, so only tangent is positive in QIII.

What is tan Pi minus theta?

tan(π – θ) = -tanθcot(π – θ) = -cotθ.

What is tan (-theta?

What is Tan Theta?length of opposite side length The tangent function of the adjacent sides of a right triangle is called the tangent function or tangent ratio of the hypotenuse and the base angle.

Is 4 5 6 a right triangle?

The three numbers 4, 5, and 6 make up Pythagorean triple (they might be the sides of a right triangle).

Why am I getting a negative sine?

as Angle increased from 90° to 180°, the sine decreases from a maximum value of 1 to a value of 0. As the angle increases from 90° to 180°, the magnitude of the cosine increases, but is now negative.

Are 9 12 and 15 a right triangle?

Explanation: According to the Pythagorean theorem, in a right triangle, the sum of the squares of the smaller sides is equal to the square of the largest side. Only 9, 12 and 15 meet this rule.