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 use an acute triangle to evaluate all six trigonometric functions, starting with secant. It covers the relationship between secant and cosine, uses the Pythagorean theorem to find the opposite side, and calculates sine, cosine, and tangent. The tutorial concludes with finding the reciprocal functions: cosecant, secant, and cotangent.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the hypotenuse in the triangle if the secant of Theta is 7?

7

5

3

1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to find the missing side of the triangle?

Tangent Rule

Sine Rule

Cosine Rule

Pythagorean Theorem

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the opposite side when simplified?

4√3

3√4

4

7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the sine of an angle defined in a right triangle?

Adjacent over Opposite

Opposite over Hypotenuse

Adjacent over Hypotenuse

Hypotenuse over Adjacent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of Theta if the adjacent side is 1 and the hypotenuse is 7?

4/3

3/4

1/7

7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the sine function?

Tangent

Cotangent

Cosecant

Secant

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you rationalize the denominator of a fraction with a square root?

Multiply by the square root over itself

Add the square root to the numerator

Divide by the square root

Subtract the square root from the denominator