adrianabazan
adrianabazan adrianabazan
  • 01-07-2020
  • Mathematics
contestada

Find all solutions and write the answer in a general form. 6 sec2(x) − 6 = 0

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-07-2020

Answer:

x = pi n

Step-by-step explanation:

6 sec^2(x) − 6 = 0

Add 6 to each side

6 sec^2(x) − 6+6 = 0+6

6 sec^2(x)=6

Divide by 6

 sec^2(x)  = 1

Take the square root of each side

sqrt(  sec^2(x) ) = ±sqrt(1)

 sec(x)  =± 1

sec (x) = 1       sec(x) = -1

Take the inverse sec of each side

sec^-1(sec (x)) = sec^-1(1)       sec^-1(sec (x)) = sec^-1(-1)

x = 2 pi n                                    x = pi + 2 pi n   where n is an integer

Combining

x = pi n

 

Answer Link

Otras preguntas

what is an example of a narrative poem
Two famous Elizabeth Blackadder paintings ?
A molecule of nitrogen gas consists of two nitrogen atoms joined together. Write the formula of nitrogen gas.
What do epidermis and the dermis have in common? Could you please help me with me questions?
what is 1/2 plus 9/10
How to convert 0.39 into a fraction?
How do u do this ??? Alistair buys an antique chair for £600. It is expected to increase in value at the rate of 4.5% each year. How much is it expected to be w
Explain the statement that waves cause both constructive and destructive change to the shore line
From the equations 7a = 4 and 7a + 4b = 12, one can conclude that b is? Please explain the work behind the solution
how do i change a trapezoid into a rectangle