vanceireland
vanceireland vanceireland
  • 03-02-2020
  • Mathematics
contestada

What is the value of x?
sin(x + 16)° = cos(2x + 14)º
Enter your answer in the box.

Respuesta :

calculista
calculista calculista
  • 10-02-2020

Answer:

x=20

Step-by-step explanation:

we know that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa

In this problem

(x+16)° and (2x+14)° are complementary

That means----> the sum is equal to 90 degrees

so

[tex](x+16)^o+(2x+14)^o=90^o[/tex]

solve for x

[tex]3x+30=90\\3x=90-30\\3x=60\\x=20[/tex]

Answer Link
stephaniep7nsa2
stephaniep7nsa2 stephaniep7nsa2
  • 10-05-2021

Answer:

x=20

Step-by-step explanation:

Verified correct with test results.

Answer Link

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