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Trigonometric Functions and Identities

Trigonometric Functions and Identities

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.C.9

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSF.TF.C.9
The video tutorial explains how to find the exact values of sine, cosine, and tangent for an angle u divided by two, given that cosine of u is negative 11/15 in quadrant three. Using half-angle identities, the tutorial demonstrates the calculations step-by-step, considering the signs of trigonometric functions based on the quadrant in which the angle terminates. The tutorial provides a clear explanation of the process, including simplification techniques and the rationale behind each step.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant does angle u terminate if cosine of u is negative?

Quadrant I

Quadrant III

Quadrant IV

Quadrant II

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sign of sine of u/2 if angle u/2 is in quadrant II?

Undefined

Zero

Negative

Positive

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify the expression 1 - (-11/15) when calculating sine of u/2?

1 + 15/11

1 - 15/11

1 + 11/15

1 - 11/15

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exact value of sine of u/2 in terms of square roots?

Square root of 13/15

Square root of 15/13

Square root of 26/15

Square root of 15/26

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sign of cosine of u/2 if angle u/2 is in quadrant II?

Undefined

Zero

Negative

Positive

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify the expression 1 + (-11/15) when calculating cosine of u/2?

1 - 11/15

1 + 11/15

1 + 15/11

1 - 15/11

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exact value of cosine of u/2 in terms of square roots?

Square root of 2/15

Negative square root of 15/2

Square root of 15/2

Negative square root of 2/15

Tags

CCSS.HSF.TF.C.9

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