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

Coal is used in the making of _____. Select all that apply. Plastics Medicine Clothing Paper Food
which is not true of Giles and Mollie? A. They know all about each other. B. They are husband and wife. C. They are knew at their jobs. D. They are suspicious
The neurotransmitter _____ is abundant during a manic state and scarce in a depressive state.
Match the elements of analyzing a speech to the information about Franklin D. Roosevelt’s “Day of Infamy” speech.
why is it important to analyze political ads carefully before choosing a candidate
What is the equation of the circle whose center and radius are given. center ( 7, -3), radius = 7
Memos, emails, and reports constitute what type of communication?
Find the product of 918.642 and 1/10
Why was Confederation a good thing?
Soils in different regions differ based on the _______.