Trigonometric Functions and Their Relationships

The video tutorial explains the concept of trigonometric cofunctions using complementary angles. It covers the relationships between sine and cosine, tangent and cotangent, and cosecant and secant, demonstrating how these functions are equal when angles are complementary. The tutorial uses right triangles to verify these relationships, providing a clear understanding of how cofunctions work in trigonometry.

What is the cofunction of sine 71 degrees?

• Secant 19 degrees

• Cosecant 19 degrees

• Tangent 19 degrees

• Cosine 19 degrees

What is the relationship between sine and cosine for complementary angles?

• Sine of an angle equals tangent of its complement

• Sine of an angle equals cotangent of its complement

• Sine of an angle equals secant of its complement

• Sine of an angle equals cosine of its complement

In a right triangle, if angle A is 71 degrees, what is angle B?

• 39 degrees

• 19 degrees

• 29 degrees

• 49 degrees

What is the cofunction of tangent 36 degrees?

• Cosine 54 degrees

• Secant 54 degrees

• Sine 54 degrees

• Cotangent 54 degrees

What is the relationship between tangent and cotangent for complementary angles?

• Tangent of an angle equals cotangent of its complement

• Tangent of an angle equals sine of its complement

• Tangent of an angle equals cosine of its complement

• Tangent of an angle equals secant of its complement

In a right triangle, if angle A is 54 degrees, what is angle B?

• 36 degrees

• 26 degrees

• 46 degrees

• 56 degrees

In a right triangle, what is the sum of the two non-right angles?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

What is the cofunction of cosecant 47 degrees?

• Tangent 43 degrees

• Cosine 43 degrees

• Secant 43 degrees

• Cotangent 43 degrees

What is the relationship between cosecant and secant for complementary angles?

• Cosecant of an angle equals cotangent of its complement

• Cosecant of an angle equals secant of its complement

• Cosecant of an angle equals cosine of its complement

• Cosecant of an angle equals tangent of its complement

What is the definition of cosecant in terms of sine?

• Reciprocal of cotangent

• Reciprocal of tangent

• Reciprocal of cosine

• Reciprocal of sine