Fill in the expressions to complete the following identities from Week #3. Choose from trig function names: sin, cos, tan, csc, sec, and cot with arguments using variables and combinations of lower case variables: x and y, and arithmetic operators: "+" or "-" or "/" to complete the identities. Use parentheses to enclose the argument or input of the trig function if needed to "contain" it. cos X a. One of the quotient identities: sin x b. One of the sum or difference formulas: = cos x cos y + sin x sin y 1- cos X c. One of the half-angle formulas:
Fill in the expressions to complete the following identities from Week #3. Choose from trig function names: sin, cos, tan, csc, sec, and cot with arguments using variables and combinations of lower case variables: x and y, and arithmetic operators: "+" or "-" or "/" to complete the identities. Use parentheses to enclose the argument or input of the trig function if needed to "contain" it. cos X a. One of the quotient identities: sin x b. One of the sum or difference formulas: = cos x cos y + sin x sin y 1- cos X c. One of the half-angle formulas:
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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I know you're only required to answer 3 subparts of a question and I understand that, but it would be greatly appreciated if you could answers these-
![### Trigonometric Identities Worksheet - Week #3
Fill in the expressions to complete the following identities from Week #3.
Choose from trigonometric function names: sin, cos, tan, csc, sec, and cot with arguments using variables and combinations of lower case variables: x and y, and arithmetic operators: "+" or "-" or "/" to complete the identities. Use parentheses to enclose the argument or input of the trig function if needed to "contain" it.
**a.** One of the quotient identities:
\[ \frac{\cos x}{\sin x} = \]
**b.** One of the sum or difference formulas:
\[ \quad\quad = \cos x \cos y + \sin x \sin y \]
**c.** One of the half-angle formulas:
\[ \quad\quad = \pm \sqrt{\frac{1 - \cos x}{2}} \]
**d.** The odd identity involving either sine or cosine:
\[ \quad\quad\quad\]
**e.** The even identity involving either sine or cosine:
\[ \quad\quad\ \]
**f.** One of the double angle formulas:
\[ \quad\quad = \cos^2 x \quad\quad -\sin^2 x \]
**g.** One of the double angle formulas:
\[ \quad\quad = \sin x \cos x \]
**h.** The type or category of identities containing \( \tan^2 x + 1 = \sec^2 x \) is called:
\[ \quad\quad \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4b10d38-ff61-4b25-b48e-347a25d5bee2%2Fbfb62dfc-07bf-4094-98bd-539de3f564e1%2Ffxupmge_processed.png&w=3840&q=75)
Transcribed Image Text:### Trigonometric Identities Worksheet - Week #3
Fill in the expressions to complete the following identities from Week #3.
Choose from trigonometric function names: sin, cos, tan, csc, sec, and cot with arguments using variables and combinations of lower case variables: x and y, and arithmetic operators: "+" or "-" or "/" to complete the identities. Use parentheses to enclose the argument or input of the trig function if needed to "contain" it.
**a.** One of the quotient identities:
\[ \frac{\cos x}{\sin x} = \]
**b.** One of the sum or difference formulas:
\[ \quad\quad = \cos x \cos y + \sin x \sin y \]
**c.** One of the half-angle formulas:
\[ \quad\quad = \pm \sqrt{\frac{1 - \cos x}{2}} \]
**d.** The odd identity involving either sine or cosine:
\[ \quad\quad\quad\]
**e.** The even identity involving either sine or cosine:
\[ \quad\quad\ \]
**f.** One of the double angle formulas:
\[ \quad\quad = \cos^2 x \quad\quad -\sin^2 x \]
**g.** One of the double angle formulas:
\[ \quad\quad = \sin x \cos x \]
**h.** The type or category of identities containing \( \tan^2 x + 1 = \sec^2 x \) is called:
\[ \quad\quad \]
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