Finding the six trigonometric functions from a triangle

The video tutorial explains how to find the six trigonometric functions of a given angle Theta using a right triangle. It begins with a review of the Pythagorean theorem to identify the hypotenuse, adjacent, and opposite sides. The tutorial then demonstrates how to calculate a missing side and defines the trigonometric functions: sine, cosine, and tangent, along with their reciprocals. Finally, it shows how to calculate these trigonometric ratios using the identified sides of the triangle.

What is the longest side of a right triangle called?

• Adjacent

• Opposite

• Hypotenuse

• Theta

Which theorem is used to find the missing side of a right triangle?

• Pythagorean Theorem

• Tangent Rule

• Cosine Rule

• Sine Rule

If the opposite side is 2 and the hypotenuse is 6, what is the sine of the angle?

• 1/3

• 1/2

• 3/2

• 2/3

What is the cosine of an angle if the adjacent side is 4√2 and the hypotenuse is 6?

• √2/3

• 1/3

• √2/4

• 2/3

Which trigonometric function is the reciprocal of sine?

• Secant

• Cotangent

• Tangent

• Cosecant