Radian Measures and Trigonometric Identities

The video tutorial explains how to solve a trigonometric equation involving tan squared x and sine squared x over a given interval. It begins by introducing the equation and using reciprocal identities to simplify it. The tutorial then demonstrates how to solve the equation by factoring and finding solutions using the unit circle and reference angles. Finally, it verifies the solutions on the unit circle, ensuring a comprehensive understanding of the process.

What identity is used to express tan squared x in terms of sine and cosine?

• tan x = sin x / cos x

• tan x = 1 / cos x

• tan x = 1 / sin x

• tan x = cos x / sin x

What is the common denominator used to simplify the equation?

• sin x

• sin squared x

• cos x

• cos squared x

What is the greatest common factor factored out from the equation?

• sine squared x

• cosine squared x

• sine x

• cosine x

What is the value of cosine x when cosine squared x equals 1/4?

• 1

• 0

• -1/2

• 1/2

Which angles have a sine function value of zero on the unit circle?

• 0 and pi radians

• pi/2 and 3pi/2 radians

• pi/3 and 2pi/3 radians

• pi/4 and 3pi/4 radians

What reference angle is used for a cosine function value of 1/2?

• 45 degrees

• 90 degrees

• 30 degrees

• 60 degrees

How do you convert 60 degrees to radians?

• Multiply by pi/90

• Multiply by 90/pi

• Multiply by pi/180

• Multiply by 180/pi

What is the radian measure of 120 degrees?

• 3pi/4

• pi/2

• 2pi/3

• pi/3

Which angle corresponds to 240 degrees in radians?

• pi/3

• 5pi/3

• 4pi/3

• 2pi/3

What is the radian measure for 300 degrees?

• pi/2

• 3pi/2

• 5pi/3

• pi