Tip - Ask This Question When You Have To Solve

Tip - Ask This Question When You Have To Solve

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving trigonometric equations, focusing on understanding the unit circle and identifying angles with specific sine values. It explains the concept of coterminal angles and infinite solutions, highlighting the limitations of inverse functions. The tutorial emphasizes the importance of asking the right questions to find all possible solutions and provides additional resources for further learning.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main question to ask when solving a trigonometric equation involving sine?

What is the secant of the angle?

What angle has a sine equal to the given value?

What is the tangent of the angle?

What is the cosine of the angle?

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle in the first quadrant has a sine value of sqrt(2)/2?

π/4

π/6

π/3

π/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find all solutions for a trigonometric equation on the unit circle?

By using only the inverse cosine function

By using only the inverse sine function

By adding or subtracting multiples of 2π

By adding or subtracting multiples of π

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a coterminal angle?

An angle that shares the same initial and terminal sides

An angle that is always positive

An angle that is always negative

An angle that is always in the first quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is relying solely on inverse trigonometric functions not sufficient?

They are only used for cosine

They are not functions

They provide all possible solutions

They only provide one solution

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What restriction is applied to the inverse sine function?

-π/2 to π/2

-π to π

0 to π

0 to 2π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving trigonometric equations, what should you consider for sine, cosine, and tangent?

Sine: X/Y coordinate, Cosine: Y/X coordinate, Tangent: Y coordinate

Sine: Y coordinate, Cosine: X coordinate, Tangent: Y/X coordinate

Sine: X coordinate, Cosine: Y coordinate, Tangent: X/Y coordinate

Sine: Y/X coordinate, Cosine: X/Y coordinate, Tangent: X coordinate