Math tutorial simplifying trigonometric expressions - learn math

The video tutorial explains how to simplify a trigonometric expression involving cosine and tangent. It begins by introducing the expression and then uses trigonometric identities to transform and simplify it. The process involves rewriting the expression using secant and cosine identities, leading to a simplified form. The tutorial emphasizes the use of trigonometric identities and simplification techniques to achieve the final result.

What is the initial expression discussed in the video?

• Sine of T times 1 plus tangent squared of T

• Cosine of T times 1 plus tangent squared of T

• Cosine of T times 1 plus tangent of T

• Sine of T times tangent of T

Which trigonometric identity is used to transform the expression involving tangent squared?

• Sine squared plus cosine squared equals 1

• 1 plus tangent squared equals secant squared

• Tangent squared equals sine squared over cosine squared

• Cosine squared equals 1 minus sine squared

After applying the identity, what does the expression simplify to?

• Sine of T times secant squared of T

• Cosine of T times secant squared of T

• Sine of T times cosine squared of T

• Cosine of T times sine squared of T

What is the final simplified form of the expression?

• Sine of T

• Tangent of T

• Cosine of T

• Secant of T

Which alternative expression is mentioned for the final result?

• One over secant of T

• One over tangent of T

• One over sine of T

• One over cosine of T