Understanding Complementary Angles and Trigonometric Ratios

The video tutorial explains right angle triangles, focusing on the concept of complementary angles. It describes the sides of a triangle, including the hypotenuse, opposite, and adjacent sides, and how these relate to different angles. The tutorial introduces trigonometric ratios, particularly sine and cosine, and their behavior with complementary angles. It also covers predefined trigonometric values for specific angles and explores the inverse and complementary nature of trigonometric ratios like cosec, sec, tan, and cot. The session concludes with a summary and a preview of the next lesson.

What is the sum of all angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

In a right angle triangle, what is the longest side called?

• Hypotenuse

• Complementary side

• Adjacent side

• Opposite side

If one angle in a right angle triangle is 30 degrees, what is the measure of its complementary angle?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

If sine of an angle is equal to cosine of another angle, what is the sum of these two angles?

• 180 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Which trigonometric function is the inverse of sine?

• Tangent

• Secant

• Cosecant

• Cosine

What is the value of sine 30 degrees?

• 1

• 0

• 1/√2

• 1/2

Which trigonometric function is the inverse of cosine?

• Cotangent

• Secant

• Cosecant

• Tangent

Which of the following is true about secant and cosecant for complementary angles?

• They are equal

• They are both zero

• They are both undefined

• They are inverses

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

• They are equal

• They are inverses

• They are both zero

• They are both undefined

What is the value of tan 30 degrees?

• 1

• 0

• √3

• 1/√3