What is the formula for the area of a triangle using sine?

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

What is the Cotangent function?

Cotangent (Cot) is the reciprocal of the tangent function. It is defined as: $$\text{Cot } A = \frac{1}{\text{Tan } A} = \frac{\text{Adjacent}}{\text{Opposite}}$$ .

What is the relationship between sine and cosine?

Sine and cosine are related through the identity: $$\text{sin}^2 A + \text{cos}^2 A = 1$$ .

What is the Law of Cosines?

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. It is expressed as: $$c^2 = a^2 + b^2 - 2ab\text{cos } C$$ .

What is the purpose of trigonometric ratios?

Trigonometric ratios are used to relate the angles and sides of triangles, allowing for the calculation of unknown lengths and angles.

How do you find the angle using sine?

To find an angle using sine, you can use the inverse sine function: $$A = \text{sin}^{-1}\frac{\text{Opposite}}{\text{Hypotenuse}}$$ .

What is the significance of the unit circle in trigonometry?

The unit circle is significant in trigonometry as it provides a geometric representation of the sine and cosine functions, where the radius is 1.

Trigonometric Ratios and Laws Review Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the Law of Sines?

Back

2.

FLASHCARD QUESTION

Front

Define Cosine in terms of a right triangle.

Back

3.

FLASHCARD QUESTION

Front

Define Sine in terms of a right triangle.

Back

4.

FLASHCARD QUESTION

Front

Define Tangent in terms of a right triangle.

Back

5.

FLASHCARD QUESTION

Front

What is a Regular Polygon?

Back

A Regular Polygon is a figure where all sides and all interior angles are equal.

6.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

7.

FLASHCARD QUESTION

Front

What is the relationship between the sides and angles in a triangle?

Back

In any triangle, the larger the angle, the longer the side opposite that angle. This is known as the triangle inequality theorem.

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