Trigonometric Identities and Functions

The video tutorial introduces trigonometric identities, starting with a review of SOHCAHTOA and the unit circle. It explains the basic trigonometric functions: sine, cosine, and tangent, and derives the Pythagorean identity. The tutorial explores trigonometric ratios and introduces the secant and cosecant functions, providing a foundational understanding of these concepts.

What does SOHCAHTOA help us remember in trigonometry?

• The steps for graphing linear equations

• The relationships between angles and sides in a right triangle

• The formulas for calculating area and perimeter

• The method for solving quadratic equations

Which trigonometric identity is derived from the Pythagorean theorem?

• sine squared theta plus cosine squared theta equals 1

• tangent squared theta plus 1 equals secant squared theta

• cosine theta equals 1 over secant theta

• sine theta over cosine theta equals tangent theta

If the sine of an angle is 1/2, what is the cosine of the angle using the Pythagorean identity?

• Square root of 3 over 2

• Square root of 2 over 2

• 1

• 1/2

What is the relationship between sine and cosine that defines the tangent function?

• Sine theta over cosine theta

• Cosine theta over sine theta

• Sine theta times cosine theta

• Cosine theta minus sine theta

What is the secant of an angle in terms of cosine?

• 1 over sine theta

• 1 over cosine theta

• Cosine theta

• Sine theta

Which of the following is a reciprocal trigonometric function?

• Cosecant

• Cosine

• Sine

• Tangent

What is the reciprocal of the sine function called?

• Cotangent

• Secant

• Cosecant

• Tangent

Which identity involves the tangent and secant functions?

• Cosine theta equals 1 over secant theta

• Sine theta over cosine theta equals tangent theta

• Sine squared theta plus cosine squared theta equals 1

• Tangent squared theta plus 1 equals secant squared theta

What is the reciprocal of the tangent function?

• Cotangent

• Secant

• Cosine

• Cosecant

Which trigonometric function is the reciprocal of cosine?

• Secant

• Cosecant

• Cotangent

• Tangent