How to evaluate the inverse of cosine with a calculator

The video tutorial introduces a new topic related to solving trigonometric equations, specifically focusing on using inverse functions to solve for Theta. The instructor begins by recalling previous concepts and then explains how to solve basic trigonometric equations using cosine. The tutorial progresses to introduce inverse functions, demonstrating how to isolate Theta using inverse cosine. The session concludes with finding the acute angle and summarizing the calculation process.

What is the first step in solving an equation like cosine of 30 degrees equals X/5?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the purpose of using inverse functions in trigonometry?

• To simplify trigonometric expressions

• To solve for an angle when it is part of a trigonometric function

• To find the length of a side in a triangle

• To convert degrees to radians

How do you isolate Theta in the equation involving inverse cosine?

• By taking the inverse cosine of both sides

• By multiplying both sides by the inverse cosine

• By subtracting the inverse cosine from both sides

• By adding the inverse cosine to both sides

What is the result of calculating the inverse cosine of 0.9659?

• 15 degrees

• 60 degrees

• 45 degrees

• 30 degrees

In the example provided, what unit is used for the angle Theta?

• Radians

• Degrees

• Revolutions

• Gradians