An Equation of the Terminal Side of an Angle θ $- 9 x + y = 0 , x \geq 0 ; \quad$

question 37

Multiple Choice

An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of θ. Do not use a calculator.
- $- 9 x + y = 0 , x \geq 0 ; \quad$ Find $\sin \theta$

• A) 9
• B) \(\frac { 9 \sqrt { 82 } } { 82 }\)
• C) \(\frac { 1 } { 9 }\)
• D) \(\frac { \sqrt { 82 } } { 82 }\)

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Definitions:

Irrational Beliefs

Unreasonable, unfounded beliefs that are often negative and can lead to emotional and behavioral issues.

Genuineness

The quality of being authentic, open, and sincere in one's interactions with others.

Congruence

Refers to the alignment or agreement between one’s internal feelings and external expressions, often highlighted in therapeutic relationships.

Spontaneity

The quality of being spontaneous; acting on impulse or without premeditation.