Topics
8. Right Triangles & Trigonometry
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United States of AmericaTennessee
Geometry

8.03 Trigonometric ratios

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the triangle below:

A right triangle named $ABC$ABC is shown with a right angle at vertex $C$C and an interior angle labeled as θ indicated at vertex $B$B. The triangle has each side labeled with its length. Side $AB$AB (the hypotenuse) measures $25$25 units. Side $AC$AC, the side opposite to angle θ measures $24$24 units. And side $BC$BC, the side adjacent to angle θ  measures $7$7 units.

Select the ratio that represents $\tan\theta$tanθ.

$\frac{25}{7}$257​

A

$\frac{24}{7}$247​

B

$\frac{7}{24}$724​

C

$\frac{24}{25}$2425​

D
Easy
< 1min

Consider the triangle below:

Easy
< 1min

Using the triangle provided:

Easy
1min

Write down the ratio of the sides represented by $\sin\theta$sinθ.

Easy
1min
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Outcomes

G.N.Q.A.1

Use units as a way to understand real-world problems.*

G.N.Q.A.1.A

Use appropriate quantities in formulas, converting units as necessary.

G.SRT.C.4

Use side ratios in right triangles to define trigonometric ratios.

G.SRT.C.4.A

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.

G.SRT.C.4.B

Explain and use the relationship between the sine and cosine of complementary angles.

G.SRT.C.5

Solve triangles.*

G.SRT.C.5.A

Know and use the Pythagorean Theorem and trigonometric ratios (sine, cosine, tangent, and their inverses) to solve right triangles in a real-world context.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

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