Compute $\sin ( \alpha - \beta )$ And $\cos ( \alpha - \beta )$

question 13

Multiple Choice

Compute $\sin ( \alpha - \beta )$ and $\cos ( \alpha - \beta )$ using the data below. $\sin \alpha = \frac { 12 } { 13 } \quad \text { where } \frac { \pi } { 2 } < \alpha < \pi$ $$\cos \beta = - \frac { 15 } { 17 } \quad \text { where } \pi < \beta < \frac { 3 \pi } { 2 }$$

• A) \(\sin ( \alpha - \beta ) = \frac { 140 } { 221 }\) \(\cos ( \alpha - \beta ) = - \frac { 171 } { 221 }\)
• B) \(\sin ( \alpha - \beta ) = - \frac { 220 } { 221 }\) \(\cos ( \alpha - \beta ) = - \frac { 21 } { 221 }\)
• C) \(\sin ( \alpha - \beta ) = - \frac { 171 } { 221 }\) \(\cos ( \alpha - \beta ) = \frac { 140 } { 221 }\)
• D) \(\sin ( \alpha - \beta ) = \frac { 220 } { 221 }\) \(\cos ( \alpha - \beta ) = - \frac { 21 } { 221 }\)
• E) \(\sin ( \alpha - \beta ) = - \frac { 21 } { 221 }\) \(\cos ( \alpha - \beta ) = - \frac { 220 } { 221 }\)

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Definitions:

Person-Centered Theory

A psychological perspective that emphasizes the importance of the individual's subjective experience and the inherent tendency toward growth and fulfillment.

Fixation

An obsessive focus or attachment to an individual, object, or concept, often at the expense of a more diverse range of interests or activities.

Pleasure-Seeking

Pleasure-seeking involves pursuing activities or experiences that provide sensory satisfaction or enjoyment, often driven by biological and psychological needs.

Projection

A defense mechanism where individuals attribute their own unacceptable thoughts, feelings, or motives to another person.