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 :

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

Which statement best describes the role of the outline in the writing process

What was common in Eastern Bloc nations?

3.78 divided by 0.9

what makes something solube or insoluble

A toy balloon, which has a mass of 2.90 g before it is inflated, is filled with helium (with a density of 0.180 kg/m^3) to a volume of 8400 cm^3. What is the mi

Advising, Mr. Washington is about to move to the student presentation portion of the lesson. As the first group of students is getting ready, he reminds the c

Barbara is a producer in a monopoly industry. Her demand curve, total revenue curve, marginal revenue curve, and total cost curve are given as follows: Q =

Alexander is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Alexander scores a total of 14 poin

Solve for x 71x + 2) = 6(x + 5) X=-44 x=-16 x=16 x=44

Describe how the variability of the distribution changes as the sample size increases. As the sample size increases, the variability decreases. It cannot be det