Using inverse tangent to solve for the missing angle of a triangle

Using inverse tangent to solve for the missing angle of a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find a missing angle in a right triangle using trigonometry. It emphasizes identifying the correct trigonometric function based on given information, specifically focusing on the tangent function when the hypotenuse is not provided. The tutorial demonstrates solving for the angle Theta using inverse operations and a calculator, converting the result into degrees. Students are encouraged to practice similar problems to reinforce their understanding.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used when you have the opposite and adjacent sides of a right triangle?

Sine

Cosine

Tangent

Secant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of tangent Theta if the opposite side is 3 and the adjacent side is 6?

1/3

1/2

2/3

3/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to solve for an angle when given the tangent of that angle?

Square root

Addition

Tangent inverse

Multiplication

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using a calculator to find an angle in degrees, which function should you use after entering the tangent value?

Second secant

Second sine

Second cosine

Second tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of Theta in degrees when tangent Theta equals 1/2?

30.00 degrees

45.00 degrees

26.57 degrees

60.00 degrees