How to Find the Angle Using Cosine when Given Secant

The video tutorial explains how to find the value of Theta in both degrees and radians, specifically between 0 and 90 degrees and 0 and π/2 radians. It covers the basics of angles, quadrants, and the unit circle. The tutorial introduces secant and its reciprocal function, cosine, to solve for Theta. The solution involves identifying where cosine equals 1/2 in the first quadrant, leading to the conclusion that Theta is π/3 radians or 60 degrees.

What is the range of Theta in degrees and radians as mentioned in the problem?

• 0 to 45 degrees and 0 to π/4

• 0 to 360 degrees and 0 to 2π

• 0 to 90 degrees and 0 to π/2

• 0 to 180 degrees and 0 to π

In which quadrant are we looking for the angle Theta?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

What is the reciprocal of the secant function?

• Cosecant

• Tangent

• Cosine

• Sine

Where in the first quadrant is the cosine of Theta equal to 1/2?

• At 30 degrees

• At 90 degrees

• At 45 degrees

• At 60 degrees

What is the value of Theta in radians when cosine is 1/2?

• π/3

• π/4

• π/2

• π/6