Solving a trigonometric equation with half angle formulas

Solving a trigonometric equation with half angle formulas

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve a trigonometric equation using the half-angle formula. It covers isolating the variable, factoring the equation, and finding solutions using the unit circle. The tutorial also emphasizes the importance of checking for extraneous solutions when squaring both sides of an equation.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range within which we need to solve the given trigonometric equation?

0 to π

0 to π/2

0 to 2π

π to 2π

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is applied to simplify the given trigonometric equation initially?

Sum and Difference Formula

Product-to-Sum Formula

Double Angle Formula

Half-Angle Formula

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it not advisable to square a trinomial directly?

It results in a binomial

It leads to a complex polynomial

It simplifies the equation

It is a standard practice

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct approach to handle a binomial squared?

Directly square each term

Subtract the terms

Use the FOIL method

Add the terms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the equation before applying the zero product property?

x^2 + 2x - 1 = 0

2x^2 + 3x - 1 = 0

x^2 - 3x + 2 = 0

2x^2 - 3x + 1 = 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the zero product property help us find in the equation?

The sum of solutions

The product of solutions

The derivative of the equation

The potential solutions

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles correspond to cosine values of 1/2 and 1 on the unit circle?

π/6, 5π/6, π

π/4, 3π/4, π

π/3, 5π/3, 0

π/2, 3π/2, 2π

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