Learn how to evalute the six trig functions given a trig ratio

Learn how to evalute the six trig functions given a trig ratio

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the six trigonometric functions for a given angle using cotangent. It begins with an introduction to cotangent and its reciprocal relationship with tangent. The instructor then demonstrates how to create a triangle and find the hypotenuse using the Pythagorean theorem. The tutorial proceeds to calculate the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent, highlighting their reciprocal relationships. Finally, the video covers rationalizing denominators and simplifying radicals in trigonometric expressions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the tangent function?

Secant

Cotangent

Cosine

Sine

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to find the hypotenuse in a right triangle?

Pythagorean theorem

Binomial theorem

Remainder theorem

Fundamental theorem of calculus

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 130?

10

11

sqrt(130)

13

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is the reciprocal of sine?

Cosine

Secant

Cosecant

Tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to rationalize the denominator in trigonometric functions?

To make calculations easier

To eliminate radicals from the denominator

To increase the value of the function

To change the function's angle