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

The circumfrence of a ball is 60cm. The ball rolls 16.2m. How many times does the ball make one complete roll?
Find the value of 15.0 Newton in pounds
Compared to the charge of a proton, the charge of all electron has (1) a greater magnitude and the same sign (2) a greater magnitude and the opposite sign (3)
Who makes federal laws?
We elect a U.S. Representative for how many years?
How do you multiply a decimal? For exapmple,2.4 times 3.5
Who was President during World War I?
Before he was President, Eisenhower was a general. What war was he in?
What type of formula represents the simplest whole number ratio of atoms of the elements in a compound? (1) molecular formula (2) condensed formula (3) empiric
Which statement describes a reversible reaction at equilibrium? (1) The activation energy of the forward reaction must equal the activation energy of the revers