johnnyschuerman johnnyschuerman
  • 03-05-2020
  • Mathematics
contestada

What are all the exact solutions of -3tan^2x+1=0? Give your answers in radians.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 04-05-2020

Answer:

  x = ±π/6 +kπ . . . for any integer k

Step-by-step explanation:

Solving for x, we have ...

  1 = 3tan(x)² . . . . . add 3tan(x)²

  ±√(1/3) = tan(x) . . . divide by 3, take the square root

  x = arctan(±√(1/3)) +kπ . . . . use the inverse function to find x

  x = ±π/6 +kπ

Answer Link

Otras preguntas

What is the estimated value of the length of a square with an area of 200 square inches? A. 10.5 inches B. 12.1 inches C. 14.1 inches D. 25 inches E.
what is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4
16 A 20-pewton force daurected west and a 5 newton force directed north act concurently on a 5 kg object. Draw the resultant vector of the two forces, calculate
What was the effect of the Watergate scandal on the 1972 election
why do you have pairs of chromosomes?
The picture represents the excretory system, Which is represented by the X? nephron ureter bladder urethra
Which muscle have their insertion on the calcaneus?
Match each system of equations to its point of intersection. y = 2x + 1 y = x + 3 y = x + 3 y = -3x − 2 y = -x − 7 y = x + 3 y = -x − 7 y = 2x + 1 y = 2x + 1 y
A.obtuse B.straight C.acute D.right
If someone were to describe "The Rosetta Stone” to a friend, he or she would most likely compare it to