Using composition of inverses using triangles

Using composition of inverses using triangles

Assessment

Interactive Video

Mathematics, Health Sciences, Biology

11th Grade - University

Hard

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The video tutorial explains how to evaluate the inverse of tan(X/sqrt2) by constructing a triangle and calculating the hypotenuse to find the cosecant. The process involves understanding tangent as opposite over adjacent, calculating the hypotenuse using the Pythagorean theorem, and deriving the cosecant as the reciprocal of sine. The tutorial concludes with the final answer and a brief closing remark.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the problem of evaluating the inverse of tan(X/sqrt(2))?

Directly calculate the cosecant

Use the sine function

Create a new triangle

Find X on the unit circle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the tangent function represent in a right triangle?

Opposite over adjacent

Opposite over hypotenuse

Hypotenuse over opposite

Adjacent over hypotenuse

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to find the hypotenuse of the triangle?

Sine rule

Cosine rule

Pythagorean theorem

Tangent rule

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between cosecant and sine?

Cosecant is the same as sine

Cosecant is the reciprocal of sine

Cosecant is the reciprocal of tangent

Cosecant is the reciprocal of cosine

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the final answer for the cosecant expressed?

X / sqrt(X^2 + 2)

sqrt(X^2 + 2) / X

X / (X^2 + 2)

X^2 + 2 / X