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Trigonometry/algebra2 Q's?!?

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.

1 Answer

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  • 1 decade ago
    Favorite Answer

    2.)x=-4+i and x=-4-i, (x-4+i)(x-4-i), foil, x^2-4x-xi-4x+16+4i+xi-4i-i^2, simplify(combine like terms), x^2-8x+16-i^2, i^2= -1, So x^2-8x+16 -(-1), x^2 -8x+17.

    11.) (1/2)x+6=-x-3, (1/2)x+9= -x, (3/2)x+9=0, (3/2)x= -9, x= -6, -2( -6)=12.

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