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Studentka2010 [4]
3 years ago
14

For each angle θ listed below, find the reference angle α, and then find sin θ. Round sin θ to four decimal places, if necessary

. Ref. Angle a Sin θ θ = 132° ? ?
Mathematics
1 answer:
babunello [35]3 years ago
4 0

Answer with explanation:

It is given that

 \rightarrow\Theta =132^{\circ}

The Angle lies in Second Quadrant.

Formula to find reference Angle

→If Angle lies in first Quadrant

  then Reference Angle = The Angle given

→If Angle lies in Second Quadrant

  Then Reference Angle = 180° - Angle

→If Angle lies in third Quadrant

  then Reference Angle =  Angle - 180°

→If Angle lies in fourth Quadrant

  Then Reference Angle = 360° -Angle

Reference Angle

   =180^{\circ}-132^{\circ}\\\\=48^{\circ}

⇒sin 48°=0.7431448

Rounding to four decimal places

Sin 48°=0.7432

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