Trigonometry, Negative Angles Identity (Equations) - Csc/Sec/Cot to Identity (Greek Letter)

Level 1

This math topic focuses on understanding the properties of trigonometric functions (cotangent, secant, and cosecant) concerning negative angles. Specifically, it involves determining the identities and relationships that hold when these trigonometric functions are applied to negative angles, using Greek letters to denote these angles. The questions explore whether the function of a negative angle equals the function of the positive angle or its negative, enhancing the student's comprehension of trigonometric identities within the framework of negative angles.

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Trigonometry, Negative Angles Identity (Equations) - Csc/Sec/Cot to Identity (Greek Letter) Worksheet

Trigonometry, Negative Angles Identity (Equations) - Csc/Sec/Cot to I...

$A LaTex expression showing \text{cot}(-\theta)$

What is true about the cotangent of this negative angle?

a $A LaTex expression showing \text{cot}(-\theta) = -\text{cot}(\theta)$

b $A LaTex expression showing \text{cot}(-\theta) = \text{cot}(\theta)$

$A LaTex expression showing \text{sec}(-\theta)$

What is true about the secant of this negative angle?

a $A LaTex expression showing \text{sec}(-\theta) = \text{sec}(\theta)$

b $A LaTex expression showing \text{sec}(-\theta) = -\text{sec}(\theta)$

$A LaTex expression showing \text{csc}(-\alpha)$

What is true about the cosecant of this negative angle?

a $A LaTex expression showing \text{csc}(-\alpha) = \text{csc}(\alpha)$

b $A LaTex expression showing \text{csc}(-\alpha) = -\text{csc}(\alpha)$

$A LaTex expression showing \text{sec}(-\gamma)$

What is true about the secant of this negative angle?

a $A LaTex expression showing \text{sec}(-\gamma) = -\text{sec}(\gamma)$

b $A LaTex expression showing \text{sec}(-\gamma) = \text{sec}(\gamma)$

$A LaTex expression showing \text{sec}(-\beta)$

What is true about the secant of this negative angle?

a $A LaTex expression showing \text{sec}(-\beta) = -\text{sec}(\beta)$

b $A LaTex expression showing \text{sec}(-\beta) = \text{sec}(\beta)$

$A LaTex expression showing \text{csc}(-\gamma)$

What is true about the cosecant of this negative angle?

a $A LaTex expression showing \text{csc}(-\gamma) = \text{csc}(\gamma)$

b $A LaTex expression showing \text{csc}(-\gamma) = -\text{csc}(\gamma)$

$A LaTex expression showing \text{csc}(-\beta)$

What is true about the cosecant of this negative angle?

a $A LaTex expression showing \text{csc}(-\beta) = -\text{csc}(\beta)$

b $A LaTex expression showing \text{csc}(-\beta) = \text{csc}(\beta)$

$A LaTex expression showing \text{cot}(-\gamma)$

What is true about the cotangent of this negative angle?

a $A LaTex expression showing \text{cot}(-\gamma) = \text{cot}(\gamma)$

b $A LaTex expression showing \text{cot}(-\gamma) = -\text{cot}(\gamma)$