A RipStik was swizzled across a large sheet of paper. The swizzle wave can be seen in the diagram below.
λ = _______________ Write the wavelength λ of the RipStik swizzle wave in centimeters.
a = _______________ Calculate the amplitude a of the RipStik swizzle wave.
τ = _______________ Calculate the period τ of the RipStik swizzle wave.
b = _______________ Given that
, calculate b
y = ______ sin( _________ x). Given the general form
y = a sin(bx) and the results above,
write the equation for the RipStik swizzle wave.
_________ A tuning fork has a frequency of 384 Hertz. Calculate the period for the tuning fork.
_________ Calculate the period for f(x) = 42 tan (1.2566 x)
________ Calculate arcsin(0.5), report the result in degrees.
________ Calculate
, report the result in degrees.
__________ For a right triangle with an adjacent side of length 65 and an opposite side of 72, find the angle θ in degrees.
__________ For a right triangle with an adjacent side of length 65 and an opposite side of 72, find the length of the hypotenuse r.
__________ For a right triangle with an adjacent side of length 80 and a hypotenus of 82, find the angle θ in degrees.
__________ For a right triangle with an adjacent side of length 80 and a hypotenuse of 82, find the length of the opposite side y.
______, _____ Find the other two numbers in a Pythagorean triple where one of the three numbers is 7.
Depth charges are explosives that detonate at a specific depth d under the surface of the water. A destroyer armed with depth charges is using a sonar to determine the angle θ and the distance r to a submarine. Write an equation for the depth d as a function of the range r and the angle θ. d =
A Turkish F-4 Phantom II is flying 14 miles off the coast of Syria. An anti-aircraft turret on the Syrian coast is tracking the Phantom. Write the equation for the angle θ as a function of x and the distance (14) from the shore. θ =
Images for the last two problems courtesy of M. N. Lee Ling.