nichollembryan nichollembryan
  • 07-05-2019
  • Mathematics
contestada

Type the correct answer in the box. If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is °.

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Аноним Аноним
  • 11-05-2019

Answer:

x = 35 degrees.

Step-by-step explanation:

cos x = sin(20 + x)

Using the identity cos x = sin(90 - x):

20 + x = 90 - x

2x = 70

x = 35 degrees (answer).

Answer Link
aquialaska aquialaska
  • 19-07-2019

Answer:

Value of x is 35°.

 

Step-by-step explanation:

Given:

cos x = sin ( 20 + x )

To find: Value of the x.

We know that [tex]sin\,(90-\theta)=cos\,\theta[/tex]

Consider,

cos x = sin ( 20 + x )

sin ( 90 - x ) = sin ( 20 + x )

Comparing both sides,

90 - x = 20 + x

-x - x = 20 - 90

-2x = -70

x = 35°

Therefore, Value of x is 35°.

Answer Link

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