Solve Trig Equation Sum and Difference Formula

Solve Trig Equation Sum and Difference Formula

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the application of trigonometric formulas, emphasizing the importance of using parentheses to avoid errors. It explains the process of simplifying trigonometric expressions and solving equations using the unit circle. The tutorial also discusses finding all solutions to trigonometric equations and understanding the concept of cancellation in expressions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to use parentheses when applying trigonometric formulas?

To ensure the answer is always positive

To increase the complexity of the problem

To avoid calculation errors

To make the expression look neat

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you distribute a negative sign in a trigonometric expression?

It doubles the value of each term

It changes all terms to positive

It changes the sign of each term

It has no effect on the expression

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of cosine of π/2?

Undefined

1

0

-1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find all solutions for a trigonometric equation within a given interval?

By adding multiples of π

By adding multiples of 2π

By subtracting multiples of π

By subtracting multiples of 2π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions for cosine of X = sqrt(3)/2 on the unit circle?

π/3 and 5π/3

π/2 and 3π/2

π/6 and 11π/6

π/4 and 7π/4