Finding Missing Angles using Inverse Trig Ratios

Finding Missing Angles using Inverse Trig Ratios

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSG.SRT.C.8, HSF.TF.B.7, HSF.TF.A.4

+2

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.8

2.

FLASHCARD QUESTION

Front

How do you find the missing angle using inverse trigonometric ratios?

Back

Use the inverse functions: sin⁻¹, cos⁻¹, or tan⁻¹ on the ratio of the sides.

Tags

CCSS.HSG.SRT.C.8

3.

FLASHCARD QUESTION

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150° (in degrees).

Tags

CCSS.HSF.TF.B.7

4.

FLASHCARD QUESTION

Front

If cos(θ) = 0.6, how do you find θ?

Back

θ = cos⁻¹(0.6) which is approximately 53.13°.

Tags

CCSS.HSG.SRT.C.8

5.

FLASHCARD QUESTION

Front

What is the range of angles for the sine function?

Back

The range is from -1 to 1, corresponding to angles from -90° to 90°.

Tags

CCSS.HSF.TF.A.4

6.

FLASHCARD QUESTION

Front

What is the range of angles for the cosine function?

Back

The range is from -1 to 1, corresponding to angles from 0° to 360°.

Tags

CCSS.HSF.TF.A.4

7.

FLASHCARD QUESTION

Front

What is the tangent of an angle?

Back

Tangent is the ratio of the opposite side to the adjacent side in a right triangle.

Tags

CCSS.HSG.SRT.C.6

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