Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express as a function of a DIFFERENT angle, 
0^(@) <= theta < 360^(@).

sin(128^(@))

sin(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} .\newlinesin(128) \sin \left(128^{\circ}\right) \newlinesin() \sin \left(\square^{\circ}\right)

Full solution

Q. Express as a function of a DIFFERENT angle, 0θ<360 0^{\circ} \leq \theta<360^{\circ} .\newlinesin(128) \sin \left(128^{\circ}\right) \newlinesin() \sin \left(\square^{\circ}\right)
  1. Identify Reference Angle: Identify the reference angle for 128°128°. The reference angle is the acute angle formed by the terminal side of the given angle and the horizontal axis. Since 128°128° is in the second quadrant, where sine is positive, the reference angle is 180°128°180° - 128°. Calculation: 180°128°=52°180° - 128° = 52°
  2. Express in Terms of Reference Angle: Express sin(128°)\sin(128°) in terms of its reference angle.\newlineSince 128°128° is in the second quadrant and sine is positive in the second quadrant, sin(128°)\sin(128°) is equal to sin(52°)\sin(52°).\newlineTherefore, sin(128°)=sin(52°)\sin(128°) = \sin(52°).
  3. Check Answer Prompt: Check if the expression answers the question prompt.\newlineThe question prompt asks to express sin(128)\sin(128^\circ) as a function of a different angle within the range 0^\circ \leq \theta < 360^\circ. Since 5252^\circ is within this range and sin(128)\sin(128^\circ) has been expressed as sin(52)\sin(52^\circ), the question prompt has been answered.

More problems from Sin, cos, and tan of special angles