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

4. Hieroglyphics originated in: A Iraq B Iran C Mesopotamia D Egypt

Which of the following is an example of conservation by sustainable land use? A. Reducing use of chemical fertilizers and pesticides. B. Removing a dam and allo

The surface of the tongue is covered with __________ stratified squamous epithelium, and has bumps called __________, where many taste buds can be found

Décrivez votre collaborateur et ses qualités professionnels où personnelles

SOMEONE PLS HELPP ASAP

Research suggests that students could benefit from later school starting times. A school administrative team is considering a proposal to move the starting time

Find the surface area of the composite figure

WRITTEN EXPRESSION Escribe dos párrafos para describir tu empleo ideal. En el primer párrafo descríbelo en términos generales: di qué tipo de trabajo es, cuál

Someone please help me with this question thank youuu

Write a PEEL paragraph to answer the question: "Was hosting the Olympics a worthwhile experience for this city (London 2016) and its people?" 50-100 words