Algebra 2/Trigonometry Questions?

Question

1. In parallelagram ABCD, AD=8, AB=12, and diagonal BD=15. Find measure of angle BAD to the nearest degree?

2. If the roots of a quadriatic equation are -4+i and -4-i what could the equation be?

3. What is the exact value of sin (4(pie)/3) ?

4. Express (Cos(pie/3)) x (sin(3pie/4)) in simplest radical form?

5. Express tan(4pie/3) in terms of sine and cosine, then in simplest radical form?

6. Express tan(pie/6) in terms of sine and cosine, then in simplest radical form?

7. What are the exact coordinates that an angle with a measure of 2pie/3 radians meet a circle of radius 3?

8. What are the exact coordinates that an angle with a measure of 150 degrees meets a cirle of radius 12?

9. Find the area of a circle if an angle of 2pie/7 radians meets an arc of 12 centimeters?

10. Explain the difference between the "initial Side" of an angle and its "terminal side"?

11. If 1/2x+6=-x-3 what is the vlue of -2x?

Thanks guys
 
And PS i didn't just copy the homework onto this, these are questions from a entire review i didn't get.

Anonymous · Accepted Answer

1. To find to measure of angle BAD use the law of cosines
BD^2 = AB^2 + AD^2 - 2 * AB * AD * cos BAD
cos BAD = ( AB^2 + AD^2  - BD ^2 ) / ( 2 * AB * AD )

http://en.wikipedia.org/wiki/Law_of_cosines

2. ( x - ( -4 + i ) ) * ( x - ( -4 - i ) )
Use i^2 = -1 to simplify

3. sin (4/3*pi) = -1/2

4. ( sqrt(3) ) / 3 *  -1/2 = -( sqrt (3) ) / 6   ( did you mean sin(4/3*pi) ? ) 

5. sqrt(3)

6. ( sqrt(3) ) /3
 
for questions 3 through 7 refer to:
http://en.wikipedia.org/wiki/File:Unit_circle_angles.svg
http://en.wikipedia.org/wiki/File:Circle-trig6.svg

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Algebra 2/Trigonometry Questions?

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