Trigonometric Functions and Angles

The video tutorial explains how to solve a trigonometric function for x by isolating the inverse cosine function, taking the cosine of both sides, and simplifying the equation. It demonstrates using a unit circle or reference triangle to find the cosine of 7π/4, which is 315 degrees, and concludes with the final calculation of x as 2√2.

What is the first step in solving the given trigonometric function for x?

• Subtract 7/4 from both sides

• Isolate the inverse cosine function

• Divide by 7π/4

• Add 4/7 to both sides

What operation is performed to simplify the equation after isolating the inverse cosine?

• Taking the sine of both sides

• Dividing by 4

• Taking the cosine of both sides

• Multiplying by 7π/4

How can the value of cosine 7π/4 be determined?

• By using sine function

• Using a unit circle or reference triangle

• Using a calculator

• By guessing

What is the degree equivalent of 7π/4 radians?

• 270 degrees

• 360 degrees

• 180 degrees

• 315 degrees

What type of triangle is used as a reference for 7π/4 radians?

• 30-60-90 triangle

• 45-45-90 triangle

• 60-60-60 triangle

• 90-90-90 triangle

What is the cosine of 7π/4 radians or 315 degrees?

• -1/√2

• 1/√2

• -1/2

• 1/2

What is the simplified value of x after determining the cosine of 7π/4?

• 2

• √2/2

• 2√2

• 4√2

How many factors of 2 are in the number 4?

• Two

• Three

• One

• None

What is the final expression for x in terms of square root?

• x = 4√2

• x = 2√2

• x = 2/√2

• x = √2/2