kayleahwilliams6 kayleahwilliams6
  • 03-02-2019
  • Mathematics
contestada

Express the following as a function of a single angle.

cos(60) cos(-20) - sin(60) sin(-20)

Respuesta :

OrethaWilkison OrethaWilkison
  • 12-02-2019

Answer:

cos(60) cos(-20) - sin(60) sin(-20) = cos (40)

Step-by-step explanation:

Using the trigonometric identity rule:

[tex]\cos(A+B) = \cos A \cos B- \sin A \sin B[/tex]

Given that:

cos(60) cos(-20) - sin(60) sin(-20)

Let A = 60 and B = -20

then;

Using identity rule:

[tex]\cos (60) \cos (-20)- \sin (60) \sin (-20) = \cos(60+(-20)) = \cos (60-20)=\cos 40[/tex]

Therefore, the following as a function of a single angle is cos (40)

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