Understanding Tangent of 67.5 Degrees Using Half Angle Identity

What is the initial angle used to find the tangent of 67.5 degrees using the half angle identity?

• 90 degrees

• 180 degrees

• 135 degrees

• 45 degrees

Which identity is used to find the tangent of 67.5 degrees?

• 1 + cosine x divided by sine x

• 1 - sine x divided by cosine x

• 1 - cosine x divided by sine x

• 1 + sine x divided by cosine x

What is the cosine of 135 degrees used in the calculation?

• One

• Zero

• Positive square root of two over two

• Negative square root of two over two

How is the complex fraction simplified in the calculation?

• By multiplying by the reciprocal of the denominator

• By adding the numerators

• By subtracting the denominators

• By dividing the numerators

What is the exact value of the tangent of 67.5 degrees found in the video?

• Square root of two minus one

• Square root of two plus one

• One minus the square root of two

• Two times the square root of two