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# Trigonometry Questions - All Grades

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Grade 11 Trigonometry CCSS: HSF-TF.A.3
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. $4sqrt(3) \ "units"$
Grade 10 Trigonometry CCSS: HSF-IF.C.7c
Grade 10 Trigonometry CCSS: HSF-IF.C.7c
Which of the following is true for all values of θ?
1. sin θ = cos θ
2. tan θ = cos θ
3. sin^2 θ + cos^2 θ = 1
4. sec θ = tan θ
Grade 11 Trigonometry CCSS: HSF-TF.A.2
$(-4pi)/3$ is equivalent to which of the following?
1. $(-2pi)/6$
2. $(4pi)/3$
3. $pi/3$
4. $(2pi)/3$
Grade 11 Trigonometry CCSS: HSF-TF.C.9
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. $1/4 (sqrt(2) + sqrt(6))$
Grade 11 Trigonometry CCSS: HSF-TF.C.9
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. $1/4(sqrt(6)-sqrt(2))$
Grade 12 Trigonometry CCSS: HSF-TF.A.1

$45deg$
1. $pi/4$
2. $pi/5$
3. $sqrt2/2pi$
4. none of the above
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
If AC is 15, AB is 17, and BC is 8, then find $cos(B)$.
1. $8/15$
2. $15/8$
3. $8/17$
4. $15/17$
Grade 11 Trigonometry CCSS: HSF-TF.C.9
What is the exact value of $tan(165°) ?$
1. $2-sqrt(3)$
2. $-2-sqrt(3)$
3. $2+sqrt(3)$
4. $-2+sqrt(3)$
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