1) cosθ=−2√3 , where π≤θ≤3π2 .
tanβ=43 , where 0≤β≤π2 .
What is the exact value of sin(θ+β) ?
2)
Two gears are connected by a chain. The larger gear has a linear velocity of 27π10 inches per second. The angular velocity of the smaller gear is 15π2 radians per minute.
What is the radius of the smaller gear?
0.36 foot
1.8 feet
4.32 feet
21.6 feet
3)
The logo for a new company is a circle divided into 24 equally sized sectors. Six of the sectors are white, and the others are different colors.
The area of one of the white sectors is 13π50 inches squared.
What is the radius of the circle? Enter your answer rounded to the nearest hundredth.
4)
Verify the identity.
cosx/1−sinx=secx+tanx