Sketch the triangle and find the six trigonometric functions

The video tutorial explains how to determine the six trigonometric functions of an angle, Theta, using a right triangle. It begins by emphasizing the importance of drawing a triangle and identifying its sides. The Pythagorean Theorem is used to find the missing side. The tutorial then calculates the sine, cosine, and tangent functions, followed by their reciprocal functions: secant, cosecant, and cotangent. The process of rationalizing denominators is also demonstrated. The tutorial concludes with a summary of the steps involved in finding all six trigonometric functions.

What is the first step in finding the six trigonometric functions of an angle when given one function?

• Calculate the hypotenuse

• Draw a right triangle

• Use the law of sines

• Find the sine value

If the cosine of Theta is 5/7, what is the sine of Theta?

• 5/7

• √6/5

• 2√6/7

• 7/5

What is the tangent of Theta if the opposite side is 2√6 and the adjacent side is 5?

• √6/7

• 5/2√6

• 2√6/5

• 7/5

What is the secant of Theta if the cosine of Theta is 5/7?

• 7/5

• 2√6/7

• 5/7

• √6/5

How do you rationalize the denominator of 5/2√6?

• Subtract 5 from the numerator

• Add 6 to the denominator

• Multiply by √6/√6

• Divide by 2