Is the value of cos theta increases as theta increases?

Answer: as theta increases the value of cos theta decreases . it starts from 1 to 0 than 0 to -1.

Does sin theta increase with Theta?

True. Step-by-step explanation: => The value of sin θ increases as θ increases.

What quadrant is sin greater than 0 and cos less than 0?

The only quadrant where x is positive, so cos(x)>0 , and y is negative, so sin(x)<0 , is Quadrant IV .

In which quadrant does θ lie if the following statements are true sin theta 0 \text and cos theta 0 Sinθ 0 and Cosθ 0?

For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) < 0 and tan(θ) < 0 (Cosine positive).

Is sin theta is equal to cos theta for all values of theta?

sin θ = cos θ for all values of θ. Hence, this statement is false.

What is sin theta cos theta?

Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .

What is the value of theta if sin theta cos theta?

Hence, the answer is 45°.

What quadrant is sin theta in?

Since r is always positive, then ry will always be positive in quadrant II. So we conclude sin ⁡ θ \displaystyle \sin{\theta} sinθ is always going to be positive in the second quadrant.

What quadrant is sin and cos positive?

first 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. In the third quadrant, the values for tan are positive only. In the fourth quadrant, the values for cos are positive only.

In which quadrant does θ lie of the following statements are true tanθ0 and cosθ0?

The only quadrant for which both these conditions are true is quadrant 3.

Is the value of sin theta cos theta is always greater than 1?

False. The value of (sinθ + cosθ) for θ = 0° is 1.

Is sin a B sin a sin B?

Since, sin (A + B) ≠ sin A + sin B. Hence, the given statement is false.

What happens to sine and cosine as Theta increases?

This means that sine increases from 0 to 1 and cosine decreases from 1 to 0. In the second quadrant, as theta increases from pi over 2 to pi, well now. Notice that if you imagined a tangent vector, it would be pointed down to the third quadrant.

What is the relationship between sin and cosine in the fourth quadrant?

And in the fourth quadrant, sin increases from -1 to 0 and cosine increases from 0 to positive 1. So both of them are increasing in the fourth quadrant. When we graph y = sin (x) and y=cos (x), the angle becomes the horizontal axis, and the output becomes the vertical axis.

What happens to sine and cosine as you go up a circle?

In the first quadrant, as theta increases from 0 to 2 pi, so of course as we are going up and around the circle–the x is decreasing, the y is increasing. This means that sine increases from 0 to 1 and cosine decreases from 1 to 0.

What are the three positive quadrants in Quadrant 1?

All three of them are positive in Quadrant I. Sine only is positive in Quadrant II. Tangent only is positive in Quadrant III. Cosine only is positive in Quadrant IV. This can be shown even easier by: This graph shows “ASTC” also.