How to use a triangle to evaluate the six trig functions for an angle

The video tutorial explains how to evaluate the six trigonometric functions using a triangle instead of the unit circle. It begins by determining the hypotenuse using the Pythagorean theorem and simplifying the result. The tutorial then calculates sine, cosine, and tangent based on the triangle's sides, followed by the reciprocal functions: cosecant, secant, and cotangent. The process includes rationalizing denominators and simplifying expressions to reach the final answers.

What is the primary method used to find the hypotenuse in this problem?

• Measuring directly

• Using trigonometric identities

• Applying the Pythagorean theorem

• Using the unit circle

How is the square root of 72 simplified in the video?

• By factoring into sqrt 36 * 2

• By using a calculator

• By adding 36 and 36

• By dividing by 2

What is the sine of Theta in terms of the triangle's sides?

• Opposite over adjacent

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over hypotenuse

What is the value of tangent Theta for this triangle?

• 2

• 0

• 1

• sqrt 2

Which trigonometric function is the reciprocal of sine?

• Cotangent

• Cosecant

• Tangent

• Secant