Unit 5 jeopardy

Using the unit circle

100

What are all the angle that solve for the equation of  sinX = 1/2

Angles 30 and 150 degrees 

200

What is the reference angle and exact value of the function below

Tan(-pi/4)

Reference angle pi/4  & final answer is ( -1 )

300

What is the reference angle & the angles that solve for the equation below?

Tan = - squrt 3 

Reference angle = 60

angle = 120 & 300

Identify Trig identities

100

Simplify the equation to a single trig function with no denominator.  

Tan²(x)/Sec²(x)

Sin²(x)

200

What is the expression CSC²X-1 equivalent to ?

Cot²X

300

Simplify the expression to the correct trig identity 

CosX + SinX(TanX )

Sec(x)

Solving linear trig equations

100

Solve for the following equation of 

Sec^2(x)-1 

Tan^2(x)

200

Solve for 2sin(x)= -1, and where will the solution be found on the unit circle 

Sin(x)= -1/2 is located at ( 7pi/6 & 11pi/6 )

300

Solve the equation of cos^2(x)-1=0 for all values 0<X< 2pi 

CosX= -1  x=Pi 

X=0 or pi

Factoring quadratic trig functions

100

Factor the equation of tan^2(x) - tan(x)=0 

TanX(TanX-1)

200

How do you correctly factor cos^2x - 7cosx + 12 =0 

( CosX - 4 )( CosX - 3)

300

Can you still factor this equation 4cos^2 x-3=0? If so what will it look like 

( 2cos+ squrt 3)( 2cos- squrt3)

Real world Trig graphing models

100

What is the period of the trig function of 3sin(2pi x)+5 

2pi

200

Write a cosine function that has an amplitude of 5, midline of 2 & a period of 8pi/7

2cos( 7/4x )+5

300

The given cosine graph has points starting at {YINT(0,4)} (4,6) {max(8,8)} & sloping back down to points (12,6) {MIN(16,4)} & with midline at 6. Given this information what is the correct for this graph?

A. Y= -2cos(pi/8x)+6

B.  Y= -2sin(pi/8x)+6

C. Y= 2cos(pi/8x)+6

D. Y = 2sin(pi/8x)+6

A. Y= -2cos(pi/8x)+6