Question

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° ? ?

Answer 1

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