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

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

In a perfectly competitive market, if a company reduces output from eleven units to ten units and the market price is twenty dollars, then TR for ten units is:

Read a student’s reaction to a nonfiction article. Summary: I read an article by Alfred Jenson about oil spills. Jenson has crossed the Arctic Ocean many times

Solve please I really need help

What church church actions angered reformers and led to the reformation

The reason for the Fed being set up as an independent agency of government is to:

Read the excerpt below and answer the question. Our children grow up accepting as part of natural phenomena the fact that they are well-clothed and well-fed, wh

What percentage of new businesses fail in the first year a 75% B 25% C 40% D 60%

Reflect on whether human beings have a symbiotic relationship with earth

Physical activity and exercise typically lead to __________. A. increased stress B. depression C. higher energy levels D. reduced quality of life P

What is the value of 8 of a in the equation 5a-10b=45, when b=3