How to solve a trigonometric equation with secant

The video tutorial covers solving trigonometric identities, focusing on the relationship between secant and cosine functions. It explains how to use the unit circle to find angles where the cosine equals 1/2, resulting in two solutions: π/3 and 5π/3. The tutorial emphasizes understanding the reciprocal nature of secant and cosine and applying this knowledge to solve equations.

What is the primary goal when solving trigonometric identities?

• To calculate the tangent of an angle

• To find the sine of an angle

• To isolate the function using inverse operations

• To memorize all trigonometric formulas

If secant of X is 2, what is the cosine of X?

• 0

• 1

• 2

• 1/2

What is the reciprocal of the secant function?

• Cosecant

• Cosine

• Tangent

• Sine

On the unit circle, at which angle is the cosine equal to 1/2?

• π/3

• π/6

• π/2

• π/4

Which of the following angles is a solution for cosine X = 1/2 on the interval 0 to 2π?

• 4π/3

• 5π/6

• 2π/3

• 5π/3