Trigonometric Functions and Their Properties

The video tutorial covers the characteristics of trigonometric functions, focusing on the relationships between sine, cosine, and tangent for complementary angles. It explains how sine and cosine of complementary angles are equal, while tangents are inverses. The video includes examples and rules for calculating these values, emphasizing the importance of understanding these relationships in trigonometry.

What is the main focus of the video tutorial?

• Geometry and its applications

• Algebraic equations and their solutions

• Characteristics of trigonometric functions and mixed word problems

• Calculus and its fundamentals

What is the sine of 65 degrees approximately?

• 0.3420

• 0.4663

• 0.9063

• 0.3090

What do the angles 65 and 25 degrees have in common?

• They are opposite

• They are complementary

• They are equal

• They are supplementary

What is the rule for the sine of an angle x?

• It equals the cosine of x

• It equals the sine of 90 minus x

• It equals the cosine of 90 minus x

• It equals the tangent of x

What is the cosine of 70 degrees approximately?

• 0.3420

• 0.9063

• 0.3090

• 0.4663

What is the tangent of 25 degrees approximately?

• 0.3420

• 0.9063

• 0.4663

• 0.3090

What is the relationship between the tangent of an angle and its complement?

• They are supplementary

• They are inverses

• They are identical

• They are equal

What is the tangent of 65 degrees approximately?

• 2.1445

• 0.9063

• 0.3090

• 0.4663

How can you find the tangent of an angle's complement?

• By doubling the angle

• By taking the inverse of the tangent of the angle

• By subtracting the angle from 90

• By adding 90 to the angle

What operation is used to find the inverse of a tangent?

• Multiplying by 2

• Raising to the power of -1

• Dividing by 2

• Raising to the power of 2