macifarringtonj macifarringtonj
  • 02-02-2021
  • Mathematics
contestada

[tex]sec^{2}x[/tex]·[tex]cotx-cotx = tanx[/tex]

I'm supposed to prove this but don't know how? Can someone help, please!

Respuesta :

DWRead
DWRead DWRead
  • 02-02-2021
sec²(x)cot(x) - cot(x) = (1/cos²(x))(cos(x)/sin(x)) - cos(x)/sin(x)
= (1/cos(x))(1/sin(x)) - cos(x)/sin(x)
= (1/cos(x))(1/sin(x)) - cos²(x)/( cos(x)sin(x))
= (1-cos²(x))/(cos(x)sin(x))
= sin²(x)/(cos(x)sin(x))
= sin(x)/cos(x)
= tan(x)
Answer Link

Otras preguntas

Solve the literal equation for x. w=5+3(x−1)
A driver in a nearby lane that's tailgating a car ahead and to your side might be preparing to _____. A. slow down rapidly B. cut in front of you C. activate
Witch numbers are a distance of 6 units from 2 on the number line?
How can you solve a multi-step problem that involves fractions?
I need help please ???
Prorate the following expenses and find the corresponding monthly expense. Lan pays a semiannual premium of $450 for automobile insurance, a monthly premium of
Can you explain the development of indentured servitude and slavery in the British colonies throughout the seventeenth century
What is publication date of I’d tell you I love you but then I’d have to kill you
{4,1}and {6,7} find the sloped
A horizontal angle was measured by repetition six times with a total station. If the initial display reading was 21o33'18" and the final reading was 129o20'04",