Grade 10 · Math · Geometry

10th grade Sine, cosine and tangent of an acute angle worksheet

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Sine, cosine and tangent of an acute angle

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

1.
Jun labels right triangle DFG on a ramp drawing. The right angle is at G, and ∠D is marked. Which side is opposite ∠D?
- DG
- DF
- FG
2.
Kira labels right triangle SCH on a ladder drawing. The right angle is at H, and ∠S is marked. Which side is adjacent to ∠S?
- SH
- SC
- CH
3.
Luz labels right triangle VQU on a kite drawing. The right angle is at U, and ∠V is marked. Which side is opposite ∠V?
- QU
- VU
- VQ
4.
Milo labels right triangle WDY on a paper drawing. The right angle is at Y, and ∠W is marked. Which side is adjacent to ∠W?
- DY
- WY
- WD
Ren draws right triangle DFG for a kite string. From ∠D, the sides are labeled opposite 8, adjacent 15 and hypotenuse 17. What is tan D, as a fraction?
Tala draws right triangle DFG for a tent rope. From ∠D, the sides are labeled opposite 7, adjacent 24 and hypotenuse 25. What is sin D, as a fraction?
Zee draws right triangle DFG for a ramp. From ∠D, the sides are labeled opposite 20, adjacent 21 and hypotenuse 29. What is cos D, as a fraction?
Ari draws right triangle DFG for a tree's shadow. From ∠D, the sides are labeled opposite 40, adjacent 9 and hypotenuse 41. What is sin D, as a fraction?
Bo draws right triangle DFG for a ladder leaning on a wall. From ∠D, the sides are labeled opposite 12, adjacent 35 and hypotenuse 37. What is tan D, as a fraction?
Esme draws right triangle DFG for a kite string. From ∠D, the sides are labeled opposite 60, adjacent 11 and hypotenuse 61. What is cos D, as a fraction?

10th grade Sine, cosine and tangent of an acute angle worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Sine, cosine and tangent. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can label the opposite side, the adjacent leg and the hypotenuse from a marked angle.
I can write sin, cos and tan of an angle as fractions.
I can use the fact that similar right triangles have the same ratios, and that sin x = cos(90° − x).

Standard: G-SRT.C.6, G-SRT.C.7

Words to know

opposite side: The side across from the marked angle; it does not touch it.

adjacent leg: The leg that touches the marked angle (not the hypotenuse).

hypotenuse: The longest side, across from the right angle.

sine (sin): Opposite over hypotenuse.

cosine (cos): Adjacent over hypotenuse.

tangent (tan): Opposite over adjacent.

Common mistakes

Your child named the hypotenuse as a leg next to the angle.

Your child swapped the opposite and adjacent sides, which mixes up sine and cosine.

Your child wrote the ratio upside down.

What to say

Ask: which side is across from the square corner?

Ask: which leg touches the marked angle?

Ask: which side goes on top in "opposite over hypotenuse"?

Questions parents ask

What is the most common mistake with sine, cosine and tangent of an acute angle?

Your child named the hypotenuse as a leg next to the angle.

How can I help my child with sine, cosine and tangent of an acute angle?

Ask: which side is across from the square corner?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More geometry

See all Geometry

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