Use cofunction identity to solve trigonometric equation

Use cofunction identity to solve trigonometric equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial reviews identities, focusing on cofunction identities and their transformations. It explains how to solve trigonometric equations using the unit circle and reference angles, and how to find solutions in all quadrants. The tutorial also covers the tangent graph, emphasizing its periodicity and how solutions repeat every π.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following pairs are considered cofunctions in trigonometry?

Sine and Cosine

Secant and Tangent

Cosecant and Cotangent

Sine and Tangent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for the tangent of an angle that results in sqrt(3)/3?

π/4

π/6

π/3

π/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrants should the angle be located for the tangent to be negative?

1st and 3rd

1st and 2nd

3rd and 4th

2nd and 4th

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the tangent function?

π

π/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can all solutions for a tangent equation be expressed?

Smallest positive angle plus π/2N

Smallest positive angle plus 2πN

Smallest positive angle plus 3πN

Smallest positive angle plus πN