Trigonometry Functions in Right-Angled Triangles

This video tutorial introduces trigonometric functions in right triangles, covering sine, cosine, and tangent. It explains the relationships between these functions and the sides of a triangle, using formulas and rules. The tutorial includes example problems to demonstrate the application of these concepts, concluding with a summary of key points.

What are the three primary trigonometric functions discussed in the video?

• Tangent, Secant, Cotangent

• Cosine, Tangent, Cotangent

• Sine, Secant, Cosecant

• Sine, Cosine, Tangent

In a right-angled triangle, what is the side opposite the right angle called?

• Base

• Adjacent

• Opposite

• Hypotenuse

How is the sine of an angle in a right-angled triangle defined?

• Hypotenuse over opposite side

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Opposite side over adjacent side

Which concept is used to derive the trigonometric formulas in the video?

• Similar triangles

• Congruent triangles

• Area of triangles

• Pythagorean theorem

What is the cosine of an angle in a right-angled triangle?

• Opposite side over hypotenuse

• Adjacent side over opposite side

• Hypotenuse over adjacent side

• Adjacent side over hypotenuse

In the problem-solving section, what is the side opposite angle beta referred to as?

• PR

• PQ

• QR

• RP

What is the tangent of an angle in a right-angled triangle?

• Adjacent side over opposite side

• Hypotenuse over opposite side

• Adjacent side over hypotenuse

• Opposite side over adjacent side

Which theorem is used to find the unknown side in a right-angled triangle?

• Pythagorean theorem

• Sine rule

• Cosine rule

• Area theorem

If the hypotenuse is 15 and one side is 12, what is the length of the other side?

• 9

• 10

• 11

• 13

What is the cosecant of an angle in a right-angled triangle?

• Reciprocal of cotangent

• Reciprocal of sine

• Reciprocal of cosine

• Reciprocal of tangent