A triangle with vertices at 04 35 and 2 l is rotated 90 degr

A triangle with vertices at (0,4), (3,5), and (2, -l) is rotated 90 degree counterclockwise about the origin. What are the vertices of the image? (4,0), (5, 3). and (1.2) (-4,0), (-5, 3), and (1, 2) (0,4), (-3,5), and (-2,-1) (0. -4). (-3.-5), and (-2,1) What are the period and amplitude of the function y = 2sin^4 theta? pi/2 and 2 pi/2 and 4 po/2 and 4 pi/2 and 1 For the function y =tan theta, which angle measure has the same value as 2pi/3? 5pi/3

Solution

13) After rotating 90^o counter clockwise,

the original coordinate is of the form (x, y), then new coordinate after rotation would become: (- y, x).

Therefore,

new vertices are (-4.0) , (-5,3), (1,2)

14)

Period of 2sin⁴ = /2

amplitude = 2sin⁴(/2) = 2 (1)⁴ = 2