eflwejwljig eflwejwljig
  • 09-05-2018
  • Mathematics
contestada

Which of these is equal to sin(70°)? A) cos(110°) B) cos(160°) C) cos(20°) D) cos(70°)

Respuesta :

mkryukova19 mkryukova19
  • 09-05-2018
sin β = cos (90-β)
sin (70⁰)= cos (90-70⁰)=cos (20⁰)
sin (70⁰)=cos (20⁰)
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SerenaBochenek SerenaBochenek
  • 26-03-2019

Answer:

[tex]sin (70^{\circ})=cos (20^{\circ})[/tex]

Option C is correct.

Step-by-step explanation:

we have to choose the option for which the value is equals to sin(70°)

As in the first quadrant sine and cosine both are positive

[tex]\sin \theta = \cos (90-\theta)\\\\\sin (70^{\circ})= \cos (90-70)=\cos (20^{\circ})\\\\sin (70^{\circ})=cos (20^{\circ})[/tex]

hence, option C is correct.

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