Simplify a trigonometric expression and then find the sum

Simplify a trigonometric expression and then find the sum

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify a trigonometric expression involving X divided by the cosecant of X plus cosine squared of X. The instructor demonstrates rewriting the expression in terms of sines and cosines, applying reciprocal identities, and ultimately using the Pythagorean identity to simplify the expression to 1.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step suggested to simplify the given trigonometric expression?

Multiply by the reciprocal

Divide by cosine

Rewrite in terms of sines and cosines

Use the Pythagorean identity

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the expression involving sine and cosecant be simplified?

By subtracting them

By using the tangent function

By multiplying by the reciprocal

By adding them together

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the expression simplify to after applying the reciprocal multiplication?

Sine squared of X

Sine of X

Cosine squared of X

Tangent of X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to conclude the simplification process?

Sum of angles identity

Reciprocal identity

Double angle identity

Pythagorean identity

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified result of the expression?

Cosine of X

0

Sine of X

1