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In triangle ABC, $sin(C) = 1/2$. If $AC = 6 \ "units"$, what is the length of $bar{BC} ?$
1. $2 \ "units"$
2. $2sqrt(3) \ "units"$
3. $12 \ "units"$
4. $4sqrt(3) \ "units"$
What is the exact value of $cos(285°) ?$
1. $1/2 (1 - sqrt(2))$
2. $-1/4 (sqrt(6) - sqrt(2))$
3. $1/4 (sqrt(6)-sqrt(2))$
4. $1/4 (sqrt(2) + sqrt(6))$
Which of the following is true concerning the law of sines and right triangles?
1. The law of sines is not valid for right triangles.
2. The law of sines can only be proved for the acute angles of a right triangle.
3. The law of sines can be easily proved for a right triangle, using trig ratios and the fact that $sin(90°)=1$.
4. The law of sines can proved for a right triangle, and the easiest proof involves the use of the Pythagorean Theorem and the formula for the area of a triangle.
What is the exact value of $sin(105°) ?$
1. $1/2(sqrt(3)+sqrt(2))$
2. $1/4(sqrt(2)-sqrt(6))$
3. $1/4(sqrt(6)+sqrt(2))$
4. $1/4(sqrt(6)-sqrt(2))$
In $Delta LMN$, $LM = 7.5 \ "units"$, $MN = 6 \ "units"$, and $m ang L = 49°$. Using the law of sines and the given information, which of the following is true?
1. No such triangle exists.
2. These measurements result in a unique triangle.
3. These measurements result in two possible triangles.
4. The law of sines cannot be used in this situation.
$(-4pi)/3$ is equivalent to which of the following?
1. $(-2pi)/6$
2. $(4pi)/3$
3. $pi/3$
4. $(2pi)/3$
What is the exact value of $tan(165°) ?$
1. $2-sqrt(3)$
2. $-2-sqrt(3)$
3. $2+sqrt(3)$
4. $-2+sqrt(3)$
What is the exact value of $sin(345°) ?$
1. $1/2(sqrt(2)-1)$
2. $-1/4 (sqrt(2)+sqrt(6))$
3. $1/4(sqrt(6) - sqrt(2))$
4. $1/4(sqrt(2) - sqrt(6))$
What is the exact value of $tan(255°) ?$
1. $-2-sqrt(3)$
2. $-2+sqrt(3)$
3. $2-sqrt(3)$
4. $2+sqrt(3)$
In $Delta XYZ$, $XY = 12 \ "units"$, $YZ = 15 \ "units"$, and $m ang X = 50°$. Using the law of sines and the given information, which of the following is true?
1. No such triangle exists.
2. These measurements result in a unique triangle.
3. These measurements result in two possible triangles.
4. The law of sines cannot be used in this situation.
In $Delta FGH$, $FG = 3 \ "units"$, $GH = 2 \ "units"$, and $m ang F = 30°$. Using the law of sines and the given information, which of the following is true?
1. No such triangle exists.
2. These measurements result in a unique triangle.
3. These measurements result in a two possible triangles.
4. The law of sines cannot be used in this situation.

This question is a part of a group with common instructions. View group »

What is the missing reason in step 16?
If $tan(theta) = sqrt(11)/11$ and $pi < theta < (3pi)/2$, what is the value of $sec(theta) ?$
1. $-(2sqrt(33))/11$
2. $sqrt(110)/11$
3. $(2sqrt(33))/11$
4. $-sqrt(110)/11$