Unit 5 Project

Unit circle application

100

Solve sin 90=

1

200

Solve tan (-pi/4)=

-1

300

If  0∘≤θ<360∘ solve the following sinθ=0

0 degrees and 180 degrees

Trig identities

100

Solve cot(0) x sin(0)=

cos(0)

200

Solve 1−cos^2x=

sin^2x

300

Solve csc^2x-1=

cot^2x

Linear trig equations

100

Solve sin(x) + 2 = 3 over the interval 0° ≤ x < 360°

90 degrees

200

Solve tan2(θ) + 3 = 0 on the interval 0° ≤ θ < 360°

No Solution

300

Solve cos(-x)=-sin^2x-cos^2x when 0 ≤ x ≤ 360

180 degrees

Quadratic trig factoring

100

4cos^2x−1=0

x=pi/3 or (pi-pi/3) or (pi+pi/3) or (2pi-pi/3)

200

cos^2+9cos+18=0

Not possible

300

2sin^2x+3cosx-3=0

x=pi/3,5pi/3     x=0

Trig models

100

What is the midline of a graph?

It is parallel to the x-axis and is located half-way between the graph's maximum and minimum values. 

200

Find the amplitude of a graph that has a midline of 0 and a maximum of 5 

5

300

When would you use a graph and determine the midline in the real world?

In a business when you want to find the middle point where every customer is happy and product sales are high