Why is sin positive in second quadrant?

Since sine is the second coordinate on point P, it’s going to be positive whenever that point is above the x axis. That means quadrants 1 and 2. Those are the 2 quadrants that are above the x axis.

Is Sin positive in second 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 is positive in quadrant II?

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.

What trig functions are positive in quadrant 2?

In quadrant II, “Smart,” only sine and its reciprocal function, cosecant, are positive. In quadrant III, “Trig,” only tangent and its reciprocal function, cotangent, are positive. Finally, in quadrant IV, “Class,” only cosine and its reciprocal function, secant, are positive.

How do you find the angle in a second 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 is tan positive quadrant 3?

for angles with their terminal arm in Quadrant III, since sine is negative and cosine is negative, tangent is positive.

Is degrees in the second quadrant?

Quadrants & Quadrantal Angles Angles between 90∘ and 180∘ are in the second quadrant. Angles between 180∘ and 270∘ are in the third quadrant. Angles between 270∘ and 360∘ are in the fourth quadrant.

Is Quadrant 3 positive or negative?

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.

Is Quadrant 4 positive or negative?

Quadrant I: Both x and y-coordinate are positive. Quadrant II: x-coordinate is negative and y-coordinate is positive. Quadrant III: Both x and y-coordinate are negative. Quadrant IV: x-coordinate is positive and y-coordinate is negative.