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

The video tutorial explains how to evaluate all six trigonometric identities given the cosecant of an angle. It starts by introducing the concept and the need to construct a triangle when the point is not on the unit circle. The tutorial then explains the reciprocal relationship between cosecant and sine, and how to use the Pythagorean theorem to find the missing side of the triangle. It proceeds to calculate the sine, cosine, and tangent values, and discusses the reciprocal properties of these functions. The tutorial concludes by summarizing the process of determining all trigonometric functions from a given cosecant value.

What is the main challenge when given the cosecant of an angle without knowing the angle itself?

• Calculating the tangent of the angle

• Finding the exact value of the angle

• Locating the point on the unit circle

• Determining the sine of the angle

How is the cosecant function related to the sine function?

• Cosecant is the integral of sine

• Cosecant is the derivative of sine

• Cosecant is the reciprocal of sine

• Cosecant is the square of sine

What is the length of the hypotenuse in the constructed triangle if the cosecant of the angle is 6?

• 1

• 6

• 35

• sqrt(35)

What is the sine of the angle in the constructed triangle?

• sqrt(35)/6

• 1/sqrt(35)

• 6

• 1/6

What is the cotangent of the angle in the constructed triangle?

• 6

• 1/6

• 35/sqrt(35)

• sqrt(35)