Unit 5 Board

Unit Circle

100

What points corresponds to an angle of 5n2 radians on the unit circle?

What is (0,1)

200

Find the value of sec(225˚) and tan(225˚)

What is 

sec(225˚)=-2

tan(225˚)=1

300

Find the value of the cosine of an unspecified angle a, given that y=-7/25

What is cos=25/24

Trig Identities

100

sin/cos

What is tanx

200

1+___=csc²

What is cot²x

300

cot x (csc²+1)=csc x+1/(csc²-1)

cot (csc+1)=csc+1/cot²=csc+1/cot

What is pythagorean identity

Linear Trig Equations

100

sin(x)+2=3

What is sin(x)=1 90˚

200

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

What is tan2(θ)=-3, no solution

300

Solve sin2(θ)-sin(θ)=2 on the interval 0≤θ<2n

What is θ=3/2n

Quadratic Trig Factoring

100

 4 cos² x-3=0

What is (2 cos+√3)(2 cos-√3)

200

2sin²+3sinx+1=0

What is (2sinx+1)(sinx+1)

300

2sin²x=1+cosx

What is (2cosx-1)(cosx+1)

Trig Models

100

A Ferris wheel has a radius 10m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one complete revolution every 20sec. Find the equation that give height above the ground of a person of the Ferris wheel as a function of time.

What is y=-10cos(pi/10x)+11

200

A tower, 50ft high, is secured with a guy wire anchored 8ft from the base of the tower. What angle will the guy wire make with the ground?

What is 80.9˚

300

If the angle of inclination of a straight line is 45˚, find its slope.

What is m=tanθ