16515531 16515531
  • 03-08-2022
  • Mathematics
contestada


Prove the identity.
tan^5x = tan x (sec² x - 2 sec² x + 1)

Prove the identity tan5x tan x sec x 2 sec x 1 class=

Respuesta :

bunnuika
bunnuika bunnuika
  • 03-08-2022

goal:tan^5x=tanx(sec²x-2sec²x+1)

proof: from l.h.s to r.h.s

tan^5x=(tanx)^5=((tanx)(tan²x)(tan²x))

from trigonometry identity

(tan²x)=sec²x-1

tan^5x=(tanx(sec²x-1)(sec²x-1))

=(tanx(sec^4x-sec²x-sec²x+1))

=(tanx(sec^4x-2sec²x+1))

proved

Answer Link

Otras preguntas

a soccer team played 160 games and won 65% of them. how many did they win?
How did the depression affect women and children?
Why did president Washington want the United States to remain neutral
What is a communicable disease ?
How did Alexander the Great rise to power and how did he spread Greek culture to other lands?
A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6
How did the depression affect women and children?
why can parents who are heterozygous for type a and type b blood have children with any of the four human blood types?
State two ways in which a single-celled organism, such as amoeba, and a human body are alike?
Which is the same as 0.08? A) 80% B) 80/100 C) 8% D) 0.8