How do you find the angle using tangent?

To find the angle using tangent, use the inverse tangent function: $$\theta = \text{tan}^{-1}igg(\frac{\text{opposite}}{\text{adjacent}}igg)$$ .

What is the relationship between sine and cosine?

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

What is the sine of 30 degrees?

The sine of 30 degrees is $$\frac{1}{2}$$ .

What is the cosine of 60 degrees?

The cosine of 60 degrees is $$\frac{1}{2}$$ .

What is the tangent of 45 degrees?

The tangent of 45 degrees is 1, since $$\text{tan}(45^{\text{o}}) = \frac{\text{opposite}}{\text{adjacent}} = 1$$ .

How do you calculate the height of a triangle using sine?

To calculate the height (h) of a triangle, use the formula: $$h = \text{hypotenuse} \times \text{sin}(\theta)$$ .

How do you calculate the base of a triangle using cosine?

To calculate the base (b) of a triangle, use the formula: $$b = \text{hypotenuse} \times \text{cos}(\theta)$$ .

What is the sine rule in triangles?

The sine rule states that the ratio of a side of a triangle to the sine of its opposite angle is constant. Formula: $$\frac{a}{\text{sin}(A)} = \frac{b}{\text{sin}(B)} = \frac{c}{\text{sin}(C)}$$ .

Trig Ratios Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a Trigonometric Ratio?

Back

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle. The primary trigonometric ratios are sine, cosine, and tangent.

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

Define Sine (sin) in terms of a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

Define Cosine (cos) in terms of a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

Define Tangent (tan) in terms of a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

How do you find the angle using sine?

Back

Tags

CCSS.HSG.SRT.C.8

7.

FLASHCARD QUESTION

Front

How do you find the angle using cosine?

Back

Tags

CCSS.HSG.SRT.C.8

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