Answer:
Step-by-step explanation:
It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.
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<h3>20.</h3>
You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.
Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are
150° and 210°
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<h3>Bonus</h3>
You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...
√2/2 + (-√2/2) = 0
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<em>Additional comments</em>
Your calculator can help you with both of these problems.
The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).
Answer:
Step-by-step explanation:
The amount of water in the bathtub per minute:4/9-8/9=-4/9;
liquid after:1/3* (-4/9)=-4/27
Answer:
Angular velocity: ()
Linear velocity: ()
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular (), in radians per second, and linear velocities (), in inches per second, of a point on the outer edge of the element are, respectively:
(1)
(2)
Where:
- Rotation rate, in revolutions per minute.
- Radius of the gear, in inches.
If we know that and , then the linear and angular velocities of the gear are, respectively:
()
()
I'm having the same troubles with this type of geometry sort of.
The total salary was $656.64 including his hourly wage and his commission.
The amount of total sales was $3,344.
6% * $3,344 = 0.06(3344) is his commission.
His wage is $12 per hour, so he earns 12h for working h hours.
656.64 = 12h + 0.06(3344)