What is the coordinate point for 5pi 4?

What is the coordinate point for 5pi 4?

The point is π4 below the negative X-axis at a distance of 1 from the origin.

What quadrant is 5 pie over 4 in?

Quadrant III
Explanation: 5π4 is an angle in Quadrant III and as such (based on CAST) its cos is negative.

In which quadrant is the terminal side of an angle of 5 PI 4 located?

The angle is in the third quadrant.

What is the value of sin 5 Pi by 4?

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. The exact value of sin(π4) sin ( π 4 ) is √22 .

How do you convert 5pi 4 to degrees?

In our case: ad=54π⋅180°π=225° .

How do you find the value of sin 5 Pi by 4?

What is the exact value of tan 5pi 4?

Trigonometry Examples Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The exact value of tan(π4) tan ( π 4 ) is 1 .

How to calculate the area of a circle in polar coordinates?

Thus we approximate the total area as ∑ i = 0 n − 1 1 2 f ( θ i) 2 Δ θ. ∫ a b 1 2 f ( θ) 2 d θ. θ . 2 θ 4) | 0 2 π = 3 π 2. Figure 10.3.1. Approximating area by sectors of circles. θ, as shown in figure 10.3.2 . The two curves intersect where 2 = 4 sin θ = 1 / 2 , so θ = π / 6 or 5 π / 6. The area we want is then θ − 4 d θ = 4 3 π + 2 3.

How to find the coordinates of a point?

In the diagram, the point with coordinates (√3, 1) has been plotted. Determine the value of r and the angle θ in radians and degrees. In our study of trigonometry so far, whenever we graphed an equation or located a point in the plane, we have used rectangular (or Cartesian) coordinates.

How to find four representations in polar coordinates?

Find four different representations in polar coordinates for the point with polar coordinates (3, 110 ∘). Use a positive value for the radial distance r for two of the representations and a negative value for the radial distance r for the other two representations.

How to convert polar coordinates into Cartesian coordinates?

Let’s work a quick example. Example 1 Convert each of the following points into the given coordinate system. Convert (−4, 2π 3) ( − 4, 2 π 3) into Cartesian coordinates. Convert (−1,−1) ( − 1, − 1) into polar coordinates. a Convert (−4, 2π 3) ( − 4, 2 π 3) into Cartesian coordinates.