Trigonometry Functions in Right-Angled Triangles

This video tutorial introduces trigonometric functions in right triangles, focusing on sine, cosine, and tangent. It explains the relationships between these functions and the sides of a triangle, using the concepts of opposite, adjacent, and hypotenuse. The tutorial provides formulas and examples to illustrate how these functions are applied in problem-solving, including the use of the Pythagorean theorem. The video also covers the reciprocal functions cosecant, secant, and cotangent, and demonstrates their application in solving trigonometric problems.

Which of the following is NOT a basic trigonometric function?

• Secant

• Sine

• Cosine

• Tangent

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

• Base

• Adjacent

• Opposite

• Hypotenuse

The sine of an angle in a right-angled triangle is the ratio of which two sides?

• Adjacent to Opposite

• Opposite to Adjacent

• Adjacent to Hypotenuse

• Opposite to Hypotenuse

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

• Opposite to Adjacent

• Adjacent to Hypotenuse

• Hypotenuse to Opposite

• Opposite to Hypotenuse

Which trigonometric function is the reciprocal of sine?

• Tangent

• Cotangent

• Cosecant

• Secant

What is the reciprocal of the cosine function?

• Secant

• Tangent

• Cosecant

• Cotangent

Which function is the reciprocal of tangent?

• Secant

• Cosecant

• Cotangent

• Sine

In a right-angled triangle, if the hypotenuse is 15 and one leg is 12, what is the length of the other leg?

• 9

• 10

• 11

• 13

Using the Pythagorean theorem, if one leg of a right triangle is 5 and the hypotenuse is 13, what is the length of the other leg?

• 12

• 8

• 10

• 9

In a right-angled triangle, which side is opposite the angle beta?

• Base

• Opposite

• Adjacent

• Hypotenuse