I need help on my Pre Calc Worksheet?

**victorfk06** · March 18th 2008, 04:48 PM

1.) Find a number between 0 and 2pi such that the angle of 0 radians in standard position is coterminal with an angle of -(23pi/3) radians in standard position.

2.) Provide the exact value of sec -(7pi/3)

3.) if the terminal side of an angle of t radians in standard position passes through the point (-2,3), then find the following values: tant t, csc t, and cost t.

4)Express as a single real number (cos -2pi/3 - 1)^2

7. A wheel is 5.4 feet in diameter and rotates at 1700 rpm
A.) what is the angular speed of the wheel?
B.) How fast is a point on the circumference of the wheel traveling in feet per minute? in miles per hour?

**topsquark** · March 18th 2008, 06:13 PM

Originally Posted by victorfk06

2.) Provide the exact value of sec -(7pi/3)

$sec \left ( -\frac{7 \pi}{3} \right ) = sec \left ( -\frac{7 \pi}{3} + 2 \pi \right )$

$= sec \left ( -\frac{\pi}{3} \right )$

$= \frac{1}{cos \left ( -\frac{\pi}{3} \right ) }$

Can you take it from here?

-Dan

**topsquark** · March 18th 2008, 06:16 PM

Originally Posted by victorfk06

3.) if the terminal side of an angle of t radians in standard position passes through the point (-2,3), then find the following values: tant t, csc t, and cost t.

The angle will be in QII, so by applying the definitions:
$tan(t) = \frac{3}{-2}$

$csc(t) = \frac{\sqrt{(-2)^2 + 3^3}}{3}$

$cos(t) = \frac{-2}{\sqrt{(-2)^2 + 3^2}}$

-Dan

**topsquark** · March 18th 2008, 06:23 PM

Originally Posted by victorfk06

4)Express as a single real number (cos -2pi/3 - 1)^2

There are various and sundry ways to do this. The most obvious is
$\left ( cos \left ( -\frac{2 \pi}{3} \right ) - 1 \right ) ^2$

$= \left ( -\frac{\sqrt{3}}{2} - 1 \right ) ^2$

$= \left ( \frac{-\sqrt{3} - 2}{2} \right ) ^2$

Now square that.

-Dan

**victorfk06** · March 19th 2008, 05:38 AM

thanks but i need help on others guys plz help thank you really appreciate it.

**victorfk06** · March 19th 2008, 12:40 PM

from # 2 i couldn't finish it what wuz the final fraction

**victorfk06** · March 19th 2008, 12:43 PM

from 2 it's equal to one right

**victorfk06** · March 19th 2008, 12:46 PM

from problem 3 the tan t= -2/3 right that's what i got when i drew the triangle. and the csc under the square it should be squared not cube right?

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