What is the formula for sine (sin) in terms of opposite and hypotenuse?

$$sin(\theta) = \frac{opposite}{hypotenuse}$$ .

What is the relationship between the sides of a right triangle and the Pythagorean theorem?

The Pythagorean theorem states that $$a^2 + b^2 = c^2$$ , where c is the hypotenuse.

If the lengths of the two legs of a right triangle are 9 and 40, what is the length of the hypotenuse?

The hypotenuse is 41, calculated using the Pythagorean theorem: $$\sqrt{9^2 + 40^2} = 41$$ .

What is the definition of a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees.

What is the significance of the angle in trigonometric ratios?

The angle determines the ratios of the sides in a right triangle, which are used to define sine, cosine, and tangent.

How do you find the length of a side in a right triangle using trigonometric ratios?

You can use the definitions of sine, cosine, or tangent based on the known sides and the angle.

Basic Trig Ratios Red 1 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of the adjacent side in a right triangle?

Back

The adjacent side is the side next to the angle of interest, excluding the hypotenuse.

2.

FLASHCARD QUESTION

Front

What is the definition of the opposite side in a right triangle?

Back

The opposite side is the side opposite to the angle of interest.

3.

FLASHCARD QUESTION

Front

What is the definition of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

4.

FLASHCARD QUESTION

Front

What is the formula for tangent (tan) in terms of opposite and adjacent sides?

Back

5.

FLASHCARD QUESTION

Front

Back

The opposite side is 40.

6.

FLASHCARD QUESTION

Front

What is the formula for cosine (cos) in terms of adjacent and hypotenuse?

Back

7.

FLASHCARD QUESTION

Front

Back

The hypotenuse is 50.

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