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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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Find $sec(495)$.
1. $-sqrt(2) / 2$
2. $1$
3. $− sqrt2$
4. $-1$
For triangle ABC, $cos(C) = 1/sqrt(2)$. What is the value of $BC$ if $AC = sqrt(3) \ "units"?$
1. $sqrt(2) \ "units"$
2. $sqrt(3)/2 \ "units"$
3. $sqrt(6) \ "units"$
4. $1 \ "unit"$
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. $4sqrt(3) \ "units"$
In triangle ABC $tan(B) = sqrt(3)$. What is the length of $bar{BC}$ if $AB = 1/4 \ "unit" ?$
1. $1/8 \ "unit"$
2. $sqrt(3)/12 \ "units"$
3. $4 sqrt(3) \ "units"$
4. $1 \ "unit"$
What is the value of $sin ((3pi)/2)$?
1. $-1$
2. $sqrt2/2$
3. $1$
4. $1/2$
What is the value of $tan (pi)$?
1. $-1/2$
2. $sqrt2/2$
3. $1$
4. $0$
What is the value of $sin ((5pi)/2)$?
1. $-sqrt3/2$
2. $sqrt2/2$
3. $1$
4. $0$
What is the value of $tan ((5pi)/4)$?
1. $-sqrt3/2$
2. $sqrt2/2$
3. $1$
4. $0$
What is the value of $sin (pi/6)$?
1. $-1/2$
2. $sqrt2/2$
3. $sqrt3/2$
4. $1/2$
What is the value of $tan ((7pi)/4)$?
1. $-1$
2. $-sqrt2/2$
3. $1$
4. $sqrt2/2$
What is the value of $cos (pi/6)$?
1. $1$
2. $sqrt2/2$
3. $sqrt3/2$
4. $2/sqrt3$
What is the value of $sin ((5pi)/4)$?
1. $-1$
2. $-sqrt2/2$
3. $-sqrt3/2$
4. $sqrt2/2$
What is the value of $sin (pi/3)$?
1. $1$
2. $sqrt2/2$
3. $sqrt3/2$
4. $2/sqrt3$