$\frac{1}{secx+\mathrm{tan}x}\frac{1}{secx+\mathrm{tan}x}=\frac{2}{cotx}$
$\frac{1}{secx+\mathrm{tan}x}\frac{1}{secx+\mathrm{tan}x}=\frac{2}{cotx}$
An extreme skier, starting from rest, coasts down a mountainthat makes an angle $25.0}^{\circ$ with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.200. She coasts for a distance of 11.9 m before coming to the edge of a cliff. Without slowing down, she skis offthe cliff and lands down hill at a point whose vertical distance is 4.20 m below the edge. How fast is she going just before she lands?
A 2.0kg projectile is fired with initial velocity components ${v}_{0x}=30$ m/s and ${v}_{0y}=40$ m/s from a point on the earth's surface. Neglect any effects due to air resistance. What is the kinetic energy of the projectile when it reaches the highest point in its trajectory? How much work was done in firing the projectile?
An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. the plane is traveling horizontally at $30.0m/s$ at a height of $200.0m$ above the ground.
A)What horizontal distance does the package fall before landing?
B)Find the velocity of the package just before it hits the ground.
A loud speaker of mass 19.0 kg is suspended a distance of 1.00 m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of 3.30 m.
A) What is the tension in each ofthe cables? (Use $9.80\text{}\frac{m}{{s}^{2}}$ for the magnitude of the acceleration due to gravity.)
the function y=16x²+100 represents the hight y(in feet) of a pencil x seconds after falling out the window of a school building. find and interpret the x and y intercepts
Let p be a prime and G = {a/pn : a ∈ Z, n ∈ N}. Show that G is a group under addition

How cos2y dy become cos 2y/2