Pre-Calculus - How to simplify a trig expression using co-function, sin((pi/2) -x)/cos((pi/2) -x)

Pre-Calculus - How to simplify a trig expression using co-function, sin((pi/2) -x)/cos((pi/2) -x)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify trigonometric expressions using identities. It covers the transformation of sine and cosine expressions and introduces the cotangent function as a result of these transformations. The teacher emphasizes understanding and applying trigonometric identities to simplify complex expressions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main challenge presented in the initial part of the video?

Understanding the unit circle

Simplifying complex trigonometric expressions

Solving trigonometric equations

Memorizing trigonometric values

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric identity is used to simplify sine(π/2 - X)?

sine(X)

cotangent(X)

cosine(X)

tangent(X)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does cosine(π/2 - X) simplify to?

sine(X)

cosine(X)

tangent(X)

secant(X)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What trigonometric function is identified when simplifying the ratio of cosine over sine?

Cosecant

Cotangent

Secant

Tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is not directly mentioned in the simplification process?

Tangent

Secant

Cosine

Sine