gissieKaylawol gissieKaylawol

08-12-2016
Mathematics

contestada

if sinx+sin^2x=1 then what is the value of
cos^12x+3cos^10x+3cos^8x+cos^6x

Respuesta :

MissPhiladelphia MissPhiladelphia

10-12-2016

From the given identity sin(x)+sin^2(x)=1
so
sin(x)=cos^2(x) (by cos^2(x)+sin^2(x)=1)
then
cos^12(x)+3cos^10(x)+3cos^8(x)+cos^6(x)
can be written as
sin^6(x)+3sin^5(x)+3sin^4(x)+sin^3(x) =(sin^2(x)+sin(x))^3 =1^3 =1

Answer Link

Otras preguntas

Stanley puts $100 in the bank for two years at 5 % interest compounded annually. At the end of the two years, what is his balance?

What are two equivalent fractions for 2/10, three equivalents fractions for 3/11 and three equivalent fractions for 1/12?

How are codons and anticodons alike?

How are kingdom and genus related ??

There are 8 red, 5 yellow and 7 green cubes in a box. What is the probability of drawing a yellow cube and then a green cube, if the first cube is not replaced

Find the greatest common factor (gcf) of 15 and 35

George has a small coin collection. He has collected 16 gold coins, 28 silver coins, 32 copper coins, and4 bronze coins. At a flea market, George sells 15% of

How are kingdom and genus related ??

what the fraction of a circle of 30 degree?

Solve this system by using substitution: y=7x-10y=-3