Solving Equations and Trigonometric Functions

The video tutorial demonstrates how to solve an equation for Y by isolating the inverse trigonometric function, specifically the inverse cosine. The process involves multiplying both sides by the reciprocal, simplifying, and using trigonometric identities to solve for Y. The solution is verified using a calculator to ensure accuracy.

What is the first step in solving the equation for Y?

• Subtract 2 from both sides

• Multiply both sides by 4/3

• Add 3 to both sides

• Divide both sides by 2

What is the reciprocal of 3/4 used in the equation?

• 4/3

• 3/2

• 1/3

• 2/3

What is the cosine value of 2PI/3 using the unit circle?

• 1

• 0

• -1/2

• 1/2

After simplifying, what is the equation for Y?

• Y = -1/2

• Y = 3/2

• Y = 1/2

• Y = -3/2

What is the final step to solve for Y?

• Add 1 to both sides

• Multiply both sides by 3

• Divide both sides by 3

• Subtract 1 from both sides

What mode should the calculator be in to verify the solution?

• Standard mode

• Scientific mode

• Radian mode

• Degree mode

What should the left side of the equation equal after verification?

• PI

• PI/2

• PI/3

• 2PI/3