Evaluate the expression for the composition of inverse sine and cosine

Evaluate the expression for the composition of inverse sine and cosine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the calculation of the cosine of 5π/6, starting with an introduction to the concept and the importance of reference angles. It explains how to determine the reference angle and use the unit circle to find the cosine value, noting that it is negative in the second quadrant. The tutorial also includes a reminder on performing function compositions, emphasizing the need to start with the innermost function. The session concludes with final observations and a recap of the key points discussed.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 5π/6?

π/3

π/4

π/6

π/2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine value of π/6?

0

1/2

sqrt(3)/2

sqrt(2)/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the cosine of 5π/6 negative?

First quadrant

Second quadrant

Third quadrant

Fourth quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine value of π/3?

sqrt(2)/2

1/2

sqrt(3)/2

0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When composing functions, which function should be evaluated first?

The outermost function

The innermost function

The function with the highest degree

The function with the lowest degree