What is the formula for the area of a triangle when given the base and height?

The area can be calculated using: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the sine of an angle in a right triangle?

The sine of an angle is defined as: $$\text{sin}(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$$ .

What is the cosine of an angle in a right triangle?

The cosine of an angle is defined as: $$\text{cos}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$$ .

What is the tangent of an angle in a right triangle?

The tangent of an angle is defined as: $$\text{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ .

How do you find the measure of an angle using inverse trigonometric functions?

You can find the measure of an angle using: $$\theta = \text{sin}^{-1}(x), \text{cos}^{-1}(x), \text{tan}^{-1}(x)$$ depending on the given ratio.

What is the formula for the area of a triangle with two sides and an included angle?

The area can be calculated using: $$\text{Area} = \frac{1}{2}ab\text{sin}(C)$$ , where a and b are the lengths of the sides and C is the included angle.

What is the relationship between cotangent and tangent?

The relationship is given by: $$\text{cot}(\theta) = \frac{1}{\text{tan}(\theta)}$$ .

What is the formula for the area of a triangle with vertices at coordinates?

The area can be calculated using: $$\text{Area} = \frac{1}{2} |x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2)|$$ .

Retake: Unit 3 Laws, Area, and Trig Identities Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the double-angle identity for sine?

Back

2.

FLASHCARD QUESTION

Front

What is the double-angle identity for tangent?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the area of a triangle given two sides and the included angle?

Back

4.

FLASHCARD QUESTION

Front

What is the Pythagorean identity?

Back

5.

FLASHCARD QUESTION

Front

What is the relationship between tangent and secant?

Back

6.

FLASHCARD QUESTION

Front

How do you simplify the expression tanB (cotB + tanB)?

Back

7.

FLASHCARD QUESTION

Front

What is the formula for the area of a triangle using Heron's formula?

Back

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