Common Core Standard HSF-TF.C.9 Questions

(+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

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Grade 11 Trigonometry CCSS: HSF-TF.C.9

What is the value of

$cos(165°) ?$

$1/4(sqrt(2)-sqrt(6))$
$-1/4(sqrt(2)+sqrt(6))$
$1/4(-sqrt(2)+sqrt(6))$
$1/2(-sqrt(2)+sqrt(3))$

Grade 11 Trigonometry CCSS: HSF-TF.C.9

What is the exact value of

$sin(105°) ?$

$1/2(sqrt(3)+sqrt(2))$
$1/4(sqrt(2)-sqrt(6))$
$1/4(sqrt(6)+sqrt(2))$
$1/4(sqrt(6)-sqrt(2))$

Grade 11 Trigonometry CCSS: HSF-TF.C.9

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

What is the missing reason in step 15?

Addition Property of Equality
Pythagorean Identity
Substitution Property of Equality
Given

Grade 11 Trigonometry CCSS: HSF-TF.C.9

What is the exact value of

$sin(195°) ?$

$-1/2(sqrt(2)+sqrt(3))$
$-1/4(sqrt(6) + sqrt(2))$
$1/4(sqrt(2) - sqrt(6))$
$1/4(sqrt(6) - sqrt(2))$

Grade 12 Trigonometry CCSS: HSF-TF.C.9

Prove that

$sin(2theta) = 2sin(theta)cos(theta)$ .

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