Simplify. (sin(x)(sin^2(x)+cos^2(x))) / (cos(x)(sin^2(x)+cos^2(x)))

A 30-60-90 triangle with a hypotenuse of 12. What is the length of the shorter length?

Find all solutions. Write as ordered pairs.

x^2+y^2=90
y=3x

Find the radian of 270 degrees?

Factor to solve.
27 = x^2 +6x

Simplify. (csc^2(x)-cot^2(x)) / cot(x)

In a 30-60-90 triangle the hypotenuse is 17cm. Find the two missing legs.

Find X, Y, and Z

2x+4y-6z=20
-3y+7z=5
Z=2

Find the degree of the radian 6pi/12?

Use the Complete the Square method to solve.

x^2 -16x +26 = 0

Simplify. (tan(x)cot(x)) / sin(x)

A plane is flying at an altitude of 10,000 ft. The angle of depression from the plane to the point "A" on the ground is 36. What is the distance between the plane and point A? (See diagram if necessary)

A rectangle has an area of 112cm^2 and a perimeter of 46cm. What are its dimensions?

Find two positive and two negative coterminal angles of the radian 3pi/12
*find the angles in degrees

Solve using the Quadratic Formula.

3x^2 -6x +2 = 0

Simplify. (tan(x)csc(x)) / (cot(x)sec(x))

See diagram paper.
A radio tower is located 400 ft from a building. From a window in the building, the angle of elevation to the top of the tower is 35 degrees and the angle of depression to the bottom of the tower is 20 degrees. How tall is the radio tow

Hannah got really mad at her pet rock and chucked it from the base of a hill in a perfect parabolic arc. The hill's slope is (1/4), and the parabola formed by the rock's trajectory can be described by the formula y=(-x^2)+(50x). At what point does Hannah

Find two positive coterminal angles in degrees to the radian 2pi/6

A T-shirt vendor finds that if he sells "x" T-shirts in one day his profit can be modeled by:
P(x)= (-0.05x^2) +10x -30

A) What is his maximum profit, and
B) how many T-shirts must he sell to achieve maximum profit?

Simplify. (sin^2(x)+cos^2(x)) / (cos^2(x))

A ski jump stands on top of a hill. The angle of inclination of the hill is 43 degrees. A guid wire runs from the top of the jump to the ground, the base of the lift tithe bottom of the wire is 70m. The angle X, as shown in the diagram, is 7 degrees, find

Hannah swims 5 miles downstream in 2 hours. Rachel, swimming at the same rate, swims up stream 5 miles in 2 1/2 hours. How fast do the girls swim relative to the water? What is the speed of the current?

Find t on a unit circle using the terminal point (sqrt.3/2, 1/2), then convert it to degrees

An ice cream vendor finds that if she sells "x" scoops of ice cream in one week her profit is given by:
P(x)= (-0.03x^2) +15x -40

A) How many scoops of ice cream must she sell in one week to maximize her profit? And
B) On average how many scoops must she