Verify each equation
1. cos(x + (pi/2)) = -sin x
2. sin(n pi + θ) = -1^(n) sin θ, n is an integer
3. (sin x + cos x)^(2) = 1 + sin 2x

Solve the equation -9p - 17 =10 a -3 b. 16 c. 18 d -16

Write and solve a real word problem that involves determining distance on a coordinate plane

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.