Pre-Calculus - Using the Double Angle of Tangent to Solve an Equation

Pre-Calculus - Using the Double Angle of Tangent to Solve an Equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers solving equations involving tangent and cotangent functions. It begins with an introduction to solving these equations using inverse operations and factoring. The instructor then applies the double angle formula to simplify the problem. Techniques for isolating and factoring terms are discussed, followed by combining terms to solve the equation. Finally, the video demonstrates finding all possible solutions for the equations, emphasizing the use of the zero product property and common denominators.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one method mentioned for solving trigonometric equations?

Using the quadratic formula

Inverse operations

Graphical analysis

Substitution method

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is factoring not straightforward in the given problem?

The equation is already simplified

There are multiple functions with the variable

The variable is not present

The equation is linear

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is applied to simplify the equation involving tan(2X)?

Half-angle formula

Pythagorean identity

Double angle formula

Sum-to-product formula

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of adding cotangent to the other side of the equation?

To eliminate the tangent term

To simplify the equation

To get rid of the denominator

To factor the equation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is achieved by rewriting the equation with a common denominator?

It becomes a linear equation

It allows for factoring

It simplifies to a quadratic form

It eliminates all trigonometric functions

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is multiplication used instead of division in solving the equation?

To eliminate the variable

To simplify the equation

To apply the zero product property

To avoid complex numbers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the zero product property help determine in the equation?

The derivative of the function

The roots of the equation

The integral of the function

The maximum value of the function

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