Pre-Calculus - How to Solve an Equation Using Double Angles

Pre-Calculus - How to Solve an Equation Using Double Angles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial addresses solving a trigonometric problem involving the expression 4sin(x)cos(x). The instructor discusses initial challenges and explores the use of double angle formulas to simplify the problem. By applying these formulas, the problem is rewritten, allowing for the calculation of specific values of X. The tutorial emphasizes the importance of understanding constraints and provides a step-by-step solution, concluding with a recap of the formulas used.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the double angle formula for sine?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you rewrite the equation involving sine and cosine to solve for sine of 2X?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What values of X satisfy the equation sine of 2X = 1/2?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of adding 2πN in the context of trigonometric equations?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the general solution for X given the specific solutions.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you manipulate the equation to isolate X after finding 2X?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the process of using the double angle formula to solve trigonometric equations.

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