How to solve an equation with the multiple angle of secant

The video tutorial guides students through solving a trigonometric equation involving secant and cosine. The instructor emphasizes ignoring complex angle identities initially and focuses on using the reciprocal property to simplify the equation. By utilizing the unit circle, the instructor identifies key angles where cosine equals 1/2. The tutorial concludes with solving for X and finding all real solutions, providing a comprehensive understanding of the problem-solving process.

What should you do with complex angle identities like double or half angles when solving an equation?

• Use them immediately to simplify the equation.

• Ignore them until the end of the problem-solving process.

• Convert them to sine and cosine immediately.

• Avoid using them altogether.

When converting secant to cosine using reciprocal properties, what is the equation for secant equals two?

• sine of 4X = 1/2

• tangent of 4X = 2

• cosine of 4X = 1/2

• cosine of 4X = 2

Which angles on the unit circle correspond to cosine equaling 1/2?

• π/4 and 3π/4

• π/3 and 5π/3

• π/6 and 5π/6

• π/2 and 3π/2

What is the general solution for X when solving the equation 4X = π/3?

• X = π/3 + 2πn

• X = π/12 + 1/2πn

• X = π/4 + πn

• X = π/6 + πn

What is the final solution for X when 4X = 5π/3?

• X = 5π/6 + πn

• X = 5π/12 + 1/2πn

• X = 5π/3 + 2πn

• X = 5π/4 + πn