What is the equation to solve for x if $$\tan(45)=\frac{x}{13}$$ ?

To solve for x, use the equation: $$x = 13 \tan(45)$$ . Since $$\tan(45) = 1$$ , then $$x = 13$$ .

What is the equation to solve for x if $$\frac{x}{13} = \text{cos}(45)$$ ?

To solve for x, use the equation: $$x = 13 \text{cos}(45)$$ . Since $$\text{cos}(45) = \frac{\text{sqrt}(2)}{2}$$ , then $$x = 13 \times \frac{\text{sqrt}(2)}{2}$$ .

What is the equation to solve for x if $$\frac{13}{x} = \text{sin}(45)$$ ?

To solve for x, use the equation: $$x = \frac{13}{\text{sin}(45)}$$ . Since $$\text{sin}(45) = \frac{\text{sqrt}(2)}{2}$$ , then $$x = 13 \times \frac{2}{\text{sqrt}(2)} = 13\text{sqrt}(2)$$ .

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

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This is known as the Pythagorean theorem: $$a^2 + b^2 = c^2$$ .

What is the value of $$\text{sin}(90)$$ ?

The value of $$\text{sin}(90) = 1$$ .

What is the value of $$\text{cos}(0)$$ ?

The value of $$\text{cos}(0) = 1$$ .

What is the value of $$\text{tan}(45)$$ ?

The value of $$\text{tan}(45) = 1$$ .

How do you find the angle if you know the opposite and adjacent sides?

You can find the angle using the tangent function: $$\theta = \text{tan}^{-1}igg(\frac{\text{Opposite}}{\text{Adjacent}}igg)$$ .

What is the unit circle and its significance in trigonometry?

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. It is significant in trigonometry because it provides a way to define the sine, cosine, and tangent functions for all angles.

What is the relationship between sine and cosine?

The sine and cosine functions are related through the identity: $$\text{sin}^2(\theta) + \text{cos}^2(\theta) = 1$$ .

Trigonometry Basics Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Sine Ratio?

Back

The Sine Ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle. It is represented as: Sine(θ) = Opposite/Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

What is the Cosine Ratio?

Back

The Cosine Ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is represented as: Cosine(θ) = Adjacent/Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

What is the Tangent Ratio?

Back

The Tangent Ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. It is represented as: Tangent(θ) = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the length of the hypotenuse in a right triangle with legs of length 16 and 30?

Back

Tags

CCSS.8.G.B.7

5.

FLASHCARD QUESTION

Front

Which trigonometric function relates the opposite side and the hypotenuse?

Back

The Sine function relates the opposite side and the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.SRT.C.8

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.SRT.C.8

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