Measurement of antinuclear antibodies (ANAs) in serum is the most commonly performed screening test for patients suspected of having a systemic rheumatic disease, also referred to as connective tissue disease.(1) ANAs occur in patients with a variety of autoimmune diseases, both systemic and organ-specific.
How do you rotate a figure 180 degrees in anticlockwise or clockwise direction on a graph? Rotation of a point through 180Â°, about the origin when a point M (h, k) is rotated about the origin O through 180Â° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).Worked-out examples on 180 degree rotation about the origin:n plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ. Now rotate PQ through 180Â° about the origin O in anticlockwise direction, the new position of points P and Q is: P (-3, 1) â P' (3, -1). Q (2, 3) â Q' (-2, -3). Thus, the new position of line segment PQ is P'Q'.
From one of the vertices drop a perpendicular to the opposite side dividing that side in two lengths each of length 1 unit. The perpendicular is of length sqrt{2^2 - 1^2} = sqrt{4-1} = sqrt{3} The perpendicular bisector divides the 60 degree angle into two equal angles each of 30 degrees.We now have a triangle of 30, 60, 90 degrees with corresponding opposite sides of 1 unit, sqrt{3} units, 2 units respectively.he hypotenuse will in such a case be sqrt{1^2 + 1^2} = sqrt{1+1} = sqrt{2}. Sine(45) = Opposite Side/Hypotenuse = 1/[sqrt(2)] Cosine(45) = Adjacent Side/Hypotenuse = 1/[sqrt(2)] Tangent(45) = Opposite Side/Hypotenuse = 1/1 = 1 As regards the 30 and 60 degrees: Consider an equilateral triangle of side 2 unit each side.