206760 206760
  • 04-06-2021
  • Mathematics
contestada

Find the angle (if it exists) in the interval [0, 2 ) for which sin = cos

Respuesta :

goddessboi goddessboi
  • 04-06-2021

Answer:

θ = π/4 over the interval [0,2)

Step-by-step explanation:

sinθ=cosθ

sinθ/cosθ=1

tanθ=1

θ = π/4 + πn

Because the domain is restricted to the interval [0,2) the only angle that exists which satisfies the interval is π/4. See the graph for a visual.

Ver imagen goddessboi
Answer Link

Otras preguntas

why did some colonist enslave native Americans and Africans
what is the solution to 3!
Which animal could a bulldog mate with to produce offspring? A. sheepdog B. beaver C. raccoon D. tabby cat
Find all the powers of 3 in the range 3 through 1,000.
Which statement describes a goal of the Populists in the late 1800s? A. They pushed for lower tariffs on imported agricultural products. B. They campaigned for
What are the disadvantages of wind pollution
Look below for question:
Does the following system have a unique solution? Why? 3x+2y= 9 14x + 10y = 14
Complex organic compounds in sewage are broken down by bacteria. What is the role of bacteria in this?
find correct two decimal places, the radius of the circle with the given circumference: 35cm