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# Trigonometry Questions - All Grades

You can create printable tests and worksheets from these Trigonometry questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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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. $1/4(sqrt(6)-sqrt(2))$
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. $1/4 (sqrt(2) + sqrt(6))$
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. $-sqrt(110)/11$
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 $tan(165°) ?$
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. $2+sqrt(3)$
What is the exact value of $cos(105°) ?$
1. $(sqrt(2)-sqrt(6))/4$
2. $-(sqrt(2)+sqrt(6))/4$
3. $-1/2 + sqrt(6)/4$
4. $(sqrt(6)-sqrt(2))/4$
What is the exact value of $tan(75°) ?$
1. $-2+sqrt(3)$
2. $2+sqrt(3)$
3. $1$
4. $2-sqrt(3)$
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