Evaluate the trig expression with inverse tan

Evaluate the trig expression with inverse tan

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a trigonometry problem involving the inverse tangent and secant of a given value. It starts by discussing the use of the unit circle and then shifts to using a triangle to find the necessary values. The Pythagorean theorem is applied to calculate the hypotenuse, and the secant is determined as the reciprocal of cosine. The tutorial concludes with tips for solving similar problems.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial problem discussed in the video?

Finding the inverse sine of a value

Finding the inverse tangent of -3/5 and then the secant

Calculating the cosine of a given angle

Determining the hypotenuse of a triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the unit circle not useful for the given problem?

The unit circle is too complex for this problem

The unit circle is only for sine and cosine

The unit circle only works for positive values

The value -3/5 is not on the unit circle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between tangent and the sides of a triangle?

Tangent is the opposite side over the adjacent side

Tangent is the adjacent side over the hypotenuse

Tangent is the adjacent side over the opposite side

Tangent is the hypotenuse over the opposite side

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the hypotenuse calculated in the video?

Using the Pythagorean theorem

Using the cosine rule

Using the tangent rule

Using the sine rule

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the secant of an angle in terms of cosine?

Secant is the inverse of cosine

Secant is the square of cosine

Secant is the reciprocal of cosine

Secant is the same as cosine