Find the Values of Theta in Degrees and Radians in the First Quadrant

The video tutorial explains how to find the angle Theta when the cosecant of Theta equals two, focusing on the first quadrant of the unit circle. It covers the concept of cosecant as the reciprocal of sine, graphing points in the first quadrant, and determining the angle using the reciprocal property. The tutorial concludes by identifying the angle as 30 degrees or π/6.

What is the range of angles for Theta in the first quadrant?

• 90 to 180 degrees

• 0 to 360 degrees

• 0 to 180 degrees

• 0 to 90 degrees

Which point on the unit circle corresponds to 45 degrees?

• (sqrt(2)/2, sqrt(2)/2)

• (sqrt(3)/2, 1/2)

• (1/2, sqrt(3)/2)

• (1, 0)

What is the reciprocal of sine known as?

• Secant

• Cosine

• Tangent

• Cosecant

If the cosecant of Theta is 2, what is the sine of Theta?

• sqrt(3)/2

• 1/2

• 2

• 1

What angle corresponds to a cosecant value of 2 in the first quadrant?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees