How do you use inverse tangent to find an angle?

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

What is the range of the inverse sine function?

The range of the inverse sine function (arcsin) is $$[-\frac{\text{\text{π}}}{2}, \frac{\text{\text{π}}}{2}]$$ .

What is the range of the inverse cosine function?

The range of the inverse cosine function (arccos) is $$[0, \text{\text{π}}]$$ .

What is the range of the inverse tangent function?

The range of the inverse tangent function (arctan) is $$(-\frac{\text{\text{π}}}{2}, \frac{\text{\text{π}}}{2})$$ .

How do you solve for a missing angle using inverse trig ratios?

To solve for a missing angle, identify the sides of the triangle, choose the appropriate inverse trig function, and apply the formula.

What is the sine rule in trigonometry?

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

What is the cosine rule in trigonometry?

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles: $$c^2 = a^2 + b^2 - 2ab \text{cos}(C)$$ .

What is the tangent of an angle in terms of sine and cosine?

The tangent of an angle can be expressed as the ratio of sine to cosine: $$\text{tan}(\theta) = \frac{\text{sin}(\theta)}{\text{cos}(\theta)}$$ .

Inverse Trig Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that determine the angle whose trigonometric ratio is a given number. They include arcsin, arccos, and arctan.

Tags

CCSS.HSF.TF.B.7

2.

FLASHCARD QUESTION

Front

What is the relationship between sine and its inverse?

Back

Tags

CCSS.HSF.TF.B.7

3.

FLASHCARD QUESTION

Front

What is the sine ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the cosine ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

What is the tangent ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

How do you use inverse sine to find an angle?

Back

Tags

CCSS.HSG.SRT.C.8

7.

FLASHCARD QUESTION

Front

How do you use inverse cosine to find an angle?

Back

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