Learn how to evaluate the inverse of csc without a calculator

The video tutorial explains how to find angles using trigonometric identities, specifically focusing on the cosecant and sine functions. It covers solving trigonometric equations, understanding domain restrictions, and identifying the correct angle within these constraints. The tutorial emphasizes the importance of quadrant relevance and concludes with instructions for students to follow before a break.

What is the first step in converting the equation cosecant of Theta equals -2 into a sine equation?

• Divide both sides by -2

• Multiply both sides by 2

• Rewrite it as one over sine of Theta equals -2

• Add 2 to both sides

When solving for an angle using inverse trigonometry, which quadrants are considered for sine?

• 1st and 2nd Quadrants

• 2nd and 3rd Quadrants

• 1st and 4th Quadrants

• 3rd and 4th Quadrants

In which quadrant is the angle located if sine of Theta equals -1/2?

• 1st Quadrant

• 2nd Quadrant

• 4th Quadrant

• 3rd Quadrant

What is the angle in radians that corresponds to sine of Theta equals -1/2 in the third quadrant?

• π/6

• -π/6

• -5π/6

• 5π/6

Why is 11π/6 not a valid angle for the given problem?

• It is not in the 1st or 2nd Quadrant

• It exceeds the domain restrictions

• It is not a multiple of π/6

• It is a positive angle