How to find all of the solutions of an equation with secant

The video tutorial explains how to solve an equation involving secant and tangent functions using Pythagorean identities. It demonstrates converting tangent to secant, solving the equation, rationalizing the denominator, and applying constraints. The tutorial concludes by finding angles on the unit circle that satisfy the solution.

What is the relationship between tangent and secant in trigonometric identities?

• Tangent squared equals secant squared minus one

• Tangent squared equals secant squared plus one

• Tangent equals secant squared

• Tangent squared equals secant

When converting tangent to secant, what is the resulting expression for tangent squared?

• Secant squared divided by two

• Two times secant squared

• Secant squared plus one

• Secant squared minus one

What is the simplified form of the equation after combining like terms?

• Secant squared of X equals 4

• Secant squared of X minus 3 equals 0

• 2 secant squared of X plus 1 equals 0

• 3 secant squared of X minus 4 equals 0

What is the value of secant squared of X after solving the equation?

• 3/2

• 2/3

• 4/3

• 3/4

Which angles satisfy the equation within the constraint of 0 to 2π?

• π/2, π, 3π/2, 2π

• π/6, 5π/6, 7π/6, 11π/6

• π/4, 3π/4, 5π/4, 7π/4

• π/3, 2π/3, 4π/3, 5π/3