lezli lezli
  • 24-01-2019
  • Computers and Technology
contestada

help verify each identity
[tex] \frac{csc}{cot \: x \: + \: tan \: x} = cos \: x[/tex]

Respuesta :

happycloudpony
happycloudpony happycloudpony
  • 24-01-2019

cot x = cos x / sin x

tan x = sin x / cos x

(Find common denominators)

cosx/sinx * cosx/cosx = cos^2x/sinxcosx

sinx/cosx * sinx/sinx = sin^2x/sinxcosx

(Now we can combine them)

csc / (sin^2x+cos^2x / sinxcosx)

(Simplify)

csc*sinx*cosx / sin^2x+cos^2x

sin^2x + cos^2x = 1

csc*sinx*cosx / (1)

csc*sinx*cosx

csc = 1/sinx

1/sinx*sinx = 1

(1)*cosx = cosx


Answer Link

Otras preguntas

which two belief systems developed in india
Which of the following is the BEST format to use when responding to an angry customer? A. e-mail B. phone call C. text message D. instant message
The small boat was scudding into the open sea with a full sail. a. getting stuck b. sinking deeply c. moving swiftly d. rocking harshly
The four main Allies in World War I were _____. Spain Austria-Hungary England France United States China Russia
The best way to gain weight is to increase your _______ intake. A. protein B. mineral C. fat D. carbohydrate
what is the awnser to 6x+14-9x+5
You're on fire! What nationality is Daniel Radcliffe? 1=German 2=American 3=British
Simplify the expression:- 3w - 10w Thank You!!!
Amy raises $58.75 to participate in a walk a thon. Jeremy raises $23.250more than Amy. Oscar raises 3 times as much as Jeremy. How much money does Oscar raise.
Which organelle(s) is(are) involved in protein synthesis in the cell? A. nucleus B. ribosome C. cell membrane D. both a. and b.