mailebourget mailebourget
  • 21-07-2020
  • Mathematics
contestada

What is the value of x?
sin(x + 22)° = cos(2x - 7)º

Respuesta :

surjithayer10 surjithayer10
  • 21-07-2020

Answer:

x=25°

Step-by-step explanation:

sin (x+22)=cos(2x-7)=sin (90-(2x-7))

x+22=90-(2x-7)

x+22=90-2x+7

x+2x=97-22

3x=75

x=75/3=25°

Answer Link
xKelvin
xKelvin xKelvin
  • 21-07-2020

Answer:

x = 25

Step-by-step explanation:

Recall the trig identity sin(x) = cos(90 - x)

In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)

Now, set them equal to each other:

cos(68 - x) = cos(2x - 7)

We can ignore the cosine:

68 - x = 2x - 7

3x = 75

x = 25

Answer Link

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