Finding the perimeter of a right triangle given hypotenuse and angles; Displacement of an oscillating bob; Completing a trigonometric identity; Trigonometric graphs

1. The hypotenuse of a 30-60-90 triangle is 9. Find the perimeter. 2. I am so lost with this one its not funny (-.6t/40) _______________ The displacement, d=-7e cos(√(pi/3)^2-0.36/1600) t) Should read: d= negative seven (e) to the negative .6t divided by 40, COS (pi divided ...continues

Proving a Trigonometric Identity : tanx + 1 / tanx = 1 / sinx cos x

Prove : tanx + 1 / tanx = 1 / sinx cos x I'm not quite sure how I would prove this, I know it is a certain formula, but I don't not know how it applies.

Solving a Trigonometric Equation : 2sin 2x + 2 = 1

Solve: (0°<0<360°) 2sin 2x + 2 = 1

Sum Formulas of sin(u + v + w) and tan(u + v + w)

Write a sum formula for each of the following: sin(u + v + w) tan(u + v + w)

Finding the height of the wall.

Elena likes to climb a vertical rock wall at an amusement park. From a point that is 10M from the base of the wall, the angle of the elevation of the top of the wall is 72 degree. What is the height of the wall, to the nearrest metre?

Logarithms

Explanation and breakdown of Logs (See attached file for full problem description with proper equations) --- Logarithms: a) Using a calculator, find log 10000 where log means log to the base of 10. Answer: b) Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In ...continues

Writing Equations from Word Problems : A box with a square base has a surface area (including the top) of 3 m^2. Express the volume V of the box as a function of the width w of the base.

A box with a square base has a surface area (including the top) of 3 m^2. Express the volume V of the box as a function of the width w of the base.

Writing Equations from Word Problems : A box with a square base and no top has a volume of 6m^3. Express the total surface area A of the box as a function of the width w of the base.

A box with a square base and no top has a volume of 6m^3. Express the total surface area A of the box as a function of the width w of the base.

Forming Functions from verbal descriptions

A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters A. Express the circumference C of this circle as a function of t. B. express the area A of this circle as a function of t.

Writing Equations from Word Problems : Volume and Radius of a Sphere ( Balloon )

A balloon is inflated in such a way that is volume increases at a rate of 20cm^3/s. a. If the volume of the balloon was 100cm^3 when the process of inflation began what will the volume be after t seconds of inflation b. Assuming that the balloon is spherical while it is being inflated, express the radius r of the balloon a ...continues