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## Which quadrant has all negative functions?

In Quadrant I, both the x– and y-coordinates are positive; in Quadrant II, the x-coordinate is negative, but the y-coordinate is positive; in Quadrant III both are negative; and in Quadrant IV, x is positive but y is negative.

## In what quadrants is Secant negative?

In quadrant 2, sine and cosecant are both positive based on our handy ASTC memory aid. Everything else – tangent, cotangent, cosine and secant are negative.

## What trig functions are negative in which quadrants?

Sine, Cosine and Tangent in Four Quadrants

• The point (12,5) is 12 units along, and 5 units up.
• In Quadrant I everything is normal, and Sine, Cosine and Tangent are all positive:
• But in Quadrant II, the x direction is negative, and both cosine and tangent become negative:
• In Quadrant III, sine and cosine are negative:

## Why is cos negative in 2nd quadrant?

In the second quadrant, x is always negative. So cos ⁡ θ \displaystyle \cos{\theta} cosθ will always be negative there, too. For the tan ⁡ θ \displaystyle \tan{\theta} tanθ case, y is positive and x is negative, so xy will always be negative.

## Why sin and cos are positive in 2nd quadrant?

The angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant and angles between 270° and 360° are in the fourth quadrant: In the first quadrant, the values for sin, cos and tan are positive. In the second quadrant, the values for sin are positive only.

## Why Sinx is positive in 2nd quadrant?

For an angle in the second quadrant the point P has negative x coordinate and positive y coordinate. Therefore: In Quadrant II, cos(θ) < 0, sin(θ) > 0 and tan(θ) < 0 (Sine positive). The quadrants in which cosine, sine and tangent are positive are often remembered using a favorite mnemonic.

## What is positive in 2nd quadrant?

In the second quadrant, only sine and cosecant (the reciprocal of sine) are positive. In the third quadrant, only tangent and cotangent are positive. Finally, in the fourth quadrant, only cosine and secant are positive.

## What quadrants are sin positive?

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

## Where is sin cos and tan negative?

Therefore: In Quadrant I, cos(θ) > 0, sin(θ) > 0 and tan(θ) > 0 (All positive). For an angle in the second quadrant the point P has negative x coordinate and positive y coordinate. Therefore: In Quadrant II, cos(θ) < 0, sin(θ) > 0 and tan(θ) < 0 (Sine positive).

## Is the function tan T positive or negative in Quadrant IV?

And , and negative divided by positive gives a negative answer, which means that the tangent is negative on the quadrant IV.

## Which of the following is true tangent is negative in Quadrant I sine is negative in Quadrant II cosine is negative in Quadrant III sine is positive in Quadrant IV?

In Quadrant IV – Cosine is positive, Tangent and Sine are negative. Sine is negative in Quadrant II – FALSE, since Sine is positive in Quadrant II. Cosine is negative in Quadrant III – TRUE, since Cosine is negative in Quadrant III.

## Which of the following is true 5 points Select one a sine is negative in quadrant IB tangent is positive in Quadrant III cosine is positive in Quadrant III D sine is negative in Quadrant II?

It’s true, cosine and sine functions are negative in Quadrant III (180° to 270°), meaning that only tangent and cotangent functions will be positive in Quadrant III.

## What quadrant does Theta lie in?

In general, if θ lies in the third quadrant, then the acute angle θ−180∘ is called the related angle for θ.

## What quadrant does 31π 4 lies?

Since π4 is in the first quadrant, the reference angle is π4 .

## How do you determine a quadrant?

The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side. When the angle is between and , the angle is a third quadrant angle. Since is between and , it is a thrid quadrant angle.

## What quadrant is 225 degrees?

The angle is in the third quadrant.

## What are the negative and positive Coterminal angles of 225 degrees?

Coterminal angle of 225° (5π / 4): 585°, 945°, -135°, -495° Coterminal angle of 240° (4π / 3): 600°, 960°, 120°, -480° Coterminal angle of 255°: 615°, 975°, -105°, -465° Coterminal angle of 270° (3π / 2): 630°, 990°, -90°, -450°

225-180

## How do you find COS 225 without a calculator?

1. How do you evaluate the sine, cosine and tangent of 225 degrees without a calculator?
2. The angle of 225 degrees lies in the third quadrant and its value is 225–180 = 45 degrees below the x-axis.
3. Sine 45 in the third quadrant = (-1/2^0.5).
4. Cosine 45 in the third quadrant = (-1/2^0.5).

2018-10-25