Evaluate the six trig functions given cosine ratio using a triangle

The video tutorial covers the concept of cosine using the SOHCAHTOA method, setting up a triangle problem to find missing sides using the Pythagorean theorem. It simplifies the square root of 24 to 2√6 and calculates the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. The tutorial also explains how to rationalize denominators for these functions and concludes with a Q&A session to address student questions and clarify concepts.

What is the relationship between the adjacent side and the hypotenuse in a right triangle when using cosine?

• Adjacent over opposite

• Adjacent over hypotenuse

• Hypotenuse over adjacent

• Opposite over hypotenuse

How do you find the missing side of a right triangle using the Pythagorean theorem?

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b = c^2

• a^2 = b^2 + c^2

What is the sine of an angle in a right triangle?

• Opposite over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

• Adjacent over hypotenuse

Which trigonometric function is the reciprocal of sine?

• Secant

• Cotangent

• Tangent

• Cosecant

How do you rationalize the denominator of a fraction?

• Multiply by the square root of the denominator

• Multiply by the denominator

• Multiply by the conjugate

• Multiply by the numerator

What is the secant of an angle if the cosine is 5/7?

• 2/5

• 5/7

• 7/5

• 7/2

If given only the sides of a triangle, how should you proceed to find trigonometric functions?

• Use the law of sines

• Create a right triangle and use side ratios

• Use the given angle measures

• Use the law of cosines