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Common Core Standard HSG-SRT.C.6 Questions

Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

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$Delta ABC$ and $Delta QRS$ are both right triangles, where $ang B$ and $ang R$ are right angles. If $cos(C) = cos(S)$, which of the following is correct?
1. $Delta ABC$ must be congruent to $Delta QRS$.
2. $Delta ABC$ must be similar to $Delta QRS$.
3. $Delta ABC$ and $Delta QRS$ may or may not be similar, but there's not enough information to be certain.
4. $Delta ABC$ and $Delta QRS$ are not similar.
Grade 11 Trigonometry CCSS: HSG-SRT.C.6, HSG-SRT.C.8

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

If AC is 12, AB is 9, and BC is 15, then what is $cos(C)$?
1. $4/3$
2. $4/5$
3. $3/5$
4. $3/4$
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. $15/17$