Solving trigonometric equations

Solving trigonometric equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve the equation secant of X minus 1 equals zero. It begins by isolating the trigonometric value and solving the secant squared equation by taking square roots. The tutorial then explores when secant equals plus or minus one using the unit circle, identifying the angles where this occurs. Finally, it discusses finding all possible solutions by considering multiple angles and concludes with a summary of the solution process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation secant of X - 1 = 0?

Divide both sides by secant

Multiply both sides by 2

Add 1 to both sides

Subtract 1 from both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does secant of X equal when it is ±1?

1/X

X

0

±1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is secant related to cosine in the context of this problem?

Secant is the square of cosine

Secant is the integral of cosine

Secant is the reciprocal of cosine

Secant is the derivative of cosine

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which angles does secant of X equal ±1?

π/2 and 3π/2

π/6 and 5π/6

π/4 and 3π/4

0 and π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What variable is used to represent the general solution for the angles?

N

P

M

Q