Govind
Govind Govind
  • 03-02-2017
  • Mathematics
contestada

2^sinx+2^cosx find the minimum value of this trignometry

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 03-02-2017
take the deritiivive
[tex]ln(2)cos(x)2^{sin(x)}-ln(2)sin(x)2^{cos(x)}[/tex]
it is zero at pi/4 and it repeats at every pi
minimum at where slope goesfrom negative to positive
so at 5pi/4 and 13pi/4 so at every 2pi interval


evaluate origial at 5pi/4
[tex]2^{sin(5pi/4)}+2^{cos(5pi/4)}[/tex]=
[tex](2^ \frac{- \sqrt{2} }{2} )+(2^ \frac{- \sqrt{2} }{2} )[/tex]=
[tex]2(2^ \frac{- \sqrt{2} }{2} )[/tex] or aprox 1.22509
Answer Link

Otras preguntas

Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill is $250 a month. Jill will be pic
Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill is $250 a month. Jill will be pic
Evaluate the expression (11/7)(5/3)(3/1)
A department store is having a 55% off sale on all sport coats. If you have a coupon for an additional 10% off of any item, how much will a $230.00 sport coat c
one-sixth of a number is 66
Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill is $250 a month. Jill will be pic
How many squares for three traits?
twelve is sixteen less than four times a number
twelve is sixteen less than four times a number
How to solve this problem .         0.3 [1.57 – (0.6)²]