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# Common Core Standard HSF-TF.A.3 Questions

(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.

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Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $sin ((3pi)/2)$?
1. $-1$
2. $sqrt2/2$
3. $1$
4. $1/2$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $tan (pi)$?
1. $-1/2$
2. $sqrt2/2$
3. $1$
4. $0$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $sin ((5pi)/2)$?
1. $-sqrt3/2$
2. $sqrt2/2$
3. $1$
4. $0$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $tan ((5pi)/4)$?
1. $-sqrt3/2$
2. $sqrt2/2$
3. $1$
4. $0$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $sin (pi/6)$?
1. $-1/2$
2. $sqrt2/2$
3. $sqrt3/2$
4. $1/2$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $tan ((7pi)/4)$?
1. $-1$
2. $-sqrt2/2$
3. $1$
4. $sqrt2/2$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $cos (pi/6)$?
1. $1$
2. $sqrt2/2$
3. $sqrt3/2$
4. $2/sqrt3$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $sin ((5pi)/4)$?
1. $-1$
2. $-sqrt2/2$
3. $-sqrt3/2$
4. $sqrt2/2$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $sin (pi/3)$?
1. $1$
2. $sqrt2/2$
3. $sqrt3/2$
4. $2/sqrt3$
Grade 12 Trigonometry CCSS: HSF-TF.A.3
What is the value of $tan (pi/4)$?
1. $1$
2. $sqrt2/2$
3. $sqrt3/2$
4. $2/sqrt2$
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