Using a right triangle evaluate for your six trig functions

The video tutorial covers the evaluation of six trigonometric functions using a given triangle. It explains the trigonometric ratios of sine, cosine, and tangent, and their reciprocals: cosecant, secant, and cotangent. The teacher uses a 45-45-90 triangle to demonstrate these concepts and applies the Pythagorean theorem to find the hypotenuse. The lesson includes a brief interruption and concludes with a Q&A session.

What does the tangent of an angle represent in a right triangle?

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

• Adjacent over opposite

In a 45-45-90 triangle, what is true about the sides?

• The hypotenuse is equal to one of the legs

• All angles are different

• Two sides are equal

• All sides are different

Which trigonometric function is the reciprocal of sine?

• Secant

• Cotangent

• Tangent

• Cosecant

How do you find the hypotenuse in a right triangle using the Pythagorean theorem?

• Add the squares of the two legs

• Divide one leg by the other

• Subtract the square of one leg from the other

• Multiply the two legs

What is the simplified form of the square root of 32?

• 4

• 8

• 4√2

• 2√8