How to solve a trigonometric equation using cofunction identities

How to solve a trigonometric equation using cofunction identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers transformations of the cotangent function, emphasizing its similarity to tangent. It explains the unit circle's role in determining tangent values, particularly focusing on angles with negative tangent values. The tutorial derives general solutions for tangent equations using periodicity and identifies specific solutions within the range of 0 to 2π.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which pair of trigonometric functions are considered cofunctions of each other?

Tangent and Cosecant

Sine and Cosine

Cosine and Secant

Sine and Tangent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrants is the tangent of an angle negative?

First and Third

Second and Fourth

Second and Third

First and Fourth

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for tangent theta equals negative square root of three?

π / 4

π / 3

π / 2

π / 6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express all solutions for an angle in terms of its periodicity?

Add or subtract 2π

Multiply by π

Divide by 2π

Add or subtract π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of expressing solutions for angles that are π apart?

Theta equals 5π / 3 + 2π

Theta equals 2π / 3 + 2π

Theta equals 5π / 3 + π

Theta equals 2π / 3 + π