Q. Express as a function of a DIFFERENT angle, 0∘≤θ<360∘.sin(128∘)sin(□∘)
Identify Reference Angle: Identify the reference angle for 128°. The reference angle is the acute angle formed by the terminal side of the given angle and the horizontal axis. Since 128° is in the second quadrant, where sine is positive, the reference angle is 180°−128°. Calculation: 180°−128°=52°
Express in Terms of Reference Angle: Express sin(128°) in terms of its reference angle.Since 128° is in the second quadrant and sine is positive in the second quadrant, sin(128°) is equal to sin(52°).Therefore, sin(128°)=sin(52°).
Check Answer Prompt: Check if the expression answers the question prompt.The question prompt asks to express sin(128∘) as a function of a different angle within the range 0^\circ \leq \theta < 360^\circ. Since 52∘ is within this range and sin(128∘) has been expressed as sin(52∘), the question prompt has been answered.
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