What is the definition of tangent in a right triangle?

Tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side. For angle θ, it is expressed as: $$tan(θ) = \frac{opposite}{adjacent}$$ .

If sin(40) = w/28, what is w?

To find w, rearrange the equation: $$w = 28 \cdot sin(40)$$ .

What is the relationship between the sides of a right triangle?

In a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): $$c^2 = a^2 + b^2$$ .

What is the formula for finding the hypotenuse in a right triangle?

The formula for finding the hypotenuse is: $$c = \sqrt{a^2 + b^2}$$ .

What is the formula for finding the opposite side using sine?

Using sine, the formula for finding the opposite side is: $$opposite = hypotenuse \cdot sin(θ)$$ .

What is the formula for finding the adjacent side using cosine?

Using cosine, the formula for finding the adjacent side is: $$adjacent = hypotenuse \cdot cos(θ)$$ .

What is the formula for finding the opposite side using tangent?

Using tangent, the formula for finding the opposite side is: $$opposite = adjacent \cdot tan(θ)$$ .

What is the relationship between sine and cosine for complementary angles?

For complementary angles, the sine of one angle is equal to the cosine of the other: $$sin(θ) = cos(90° - θ)$$ .

Year 9 Pythagoras and Trigonometry Revision Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

What is the correct equation to solve for x in the triangle where tan(58) = x/11?

Back

3.

FLASHCARD QUESTION

Front

What is the correct ratio for sin 40 in a right triangle?

Back

4.

FLASHCARD QUESTION

Front

What is the side from point A to point B called in a right triangle?

Back

The side from point A to point B is called the Hypotenuse.

5.

FLASHCARD QUESTION

Front

What is the value of c in a right triangle with sides 5 and 12?

Back

6.

FLASHCARD QUESTION

Front

What is the definition of sine in a right triangle?

Back

7.

FLASHCARD QUESTION

Front

What is the definition of cosine in a right triangle?

Back

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