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

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

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find all six trigonometric functions given the sine of an angle. It starts by identifying the sides of a right triangle and using the Pythagorean theorem to find the missing side. The tutorial then calculates the cosine, secant, tangent, and cotangent functions, including rationalizing denominators where necessary. The video concludes with a summary of the process for evaluating trigonometric functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the trigonometric ratio for sine?

Opposite over Adjacent

Opposite over Hypotenuse

Hypotenuse over Opposite

Adjacent over Hypotenuse

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to find the length of the adjacent side in a right triangle?

Tangent Rule

Cosine Rule

Sine Rule

Pythagorean Theorem

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the adjacent side if the opposite side is 2 and the hypotenuse is 3?

sqrt 4

sqrt 3

sqrt 6

sqrt 5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of Theta if the adjacent side is sqrt 5 and the hypotenuse is 3?

3/sqrt 5

sqrt 5/3

2/3

sqrt 5/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3/2

2/3

2/sqrt 5

sqrt 5/2