Sketch a triangle given a trig angle then determine remaining trig functions of angle

The video tutorial explains how to evaluate trigonometric functions when given a cosine value not on the unit circle. It starts by drawing a triangle and using the Pythagorean theorem to find the missing side. The tutorial then calculates the sine, cosine, and tangent of the angle, followed by their reciprocal functions: cosecant, secant, and cotangent. The process includes rationalizing denominators where necessary.

What is the first step when given a point not on the unit circle to find the angle?

• Use the Pythagorean theorem

• Draw a triangle

• Calculate the sine function

• Find the reciprocal of cosine

What is the length of the opposite side of the triangle when using the Pythagorean theorem in this problem?

• 5

• 2√6

• √24

• 7

Which trigonometric function is defined as opposite over hypotenuse?

• Cosine

• Secant

• Sine

• Tangent

What is the reciprocal of the sine function called?

• Cotangent

• Secant

• Tangent

• Cosecant

How do you rationalize the denominator of a fraction?

• Multiply by the conjugate of the denominator

• Add the numerator to the denominator

• Multiply by the numerator

• Subtract the numerator from the denominator