If the opposite side is 3 and the hypotenuse is 5, what is sin A?

Using the sine formula: $$\text{sin A} = \frac{3}{5}$$ .

If the adjacent side is 4 and the hypotenuse is 5, what is cos A?

Using the cosine formula: $$\text{cos A} = \frac{4}{5}$$ .

If the opposite side is 3 and the adjacent side is 4, what is tan A?

Using the tangent formula: $$\text{tan A} = \frac{3}{4}$$ .

What is the relationship between sin, cos, and tan?

The relationship is given by: $$\text{tan A} = \frac{\text{sin A}}{\text{cos A}}$$ .

What is the Pythagorean identity involving sin and cos?

The Pythagorean identity states: $$\text{sin}^2 A + \text{cos}^2 A = 1$$ .

How do you find the sine of an angle using a calculator?

To find the sine of an angle using a calculator, ensure the calculator is in the correct mode (degrees or radians) and input the angle, then press the 'sin' button.

What is the sine of a 90-degree angle?

The sine of a 90-degree angle is $$1$$ .

What is the cosine of a 0-degree angle?

The cosine of a 0-degree angle is $$1$$ .

Trig ratios: SohCahToa practice Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What does SohCahToa stand for in trigonometry?

Back

SohCahToa is a mnemonic to remember the definitions of sine, cosine, and tangent: - SOH: Sine = Opposite / Hypotenuse - CAH: Cosine = Adjacent / Hypotenuse - TOA: Tangent = Opposite / Adjacent

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

Define sine (sin) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

Define cosine (cos) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

Define tangent (tan) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

What is the sine of a 30-degree angle?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

What is the cosine of a 60-degree angle?

Back

Tags

CCSS.HSG.SRT.C.7

7.

FLASHCARD QUESTION

Front

What is the tangent of a 45-degree angle?

Back

Tags

CCSS.HSG.SRT.C.6

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