tanx-cotx / sinxcosx =sec^2-csc^2x. Please show all steps.

Question

26-03-2017
Mathematics

contestada

tanx-cotx / sinxcosx =sec^2-csc^2x. Please show all steps.

Respuesta :

Otras preguntas

Consider the points below. P(1, 3, 5), Q(−4, 7, 3), R(2, 2, 6) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. (b) Find the

If the cell cycle is carefully controlled by proteins that are present only temporarily to help turn on the cell cycle (i.e. growth factors) and other proteins

The electric field strength E 0 is measured at a perpendicular distance R from an infinitely large, thin sheet that contains a uniform positive charge density σ

A box of mass 84 kg is at rest on a horizontal frictionless surface. A constant horizontal force F then acts on the box and accelerates it to the right. It is o

A 10-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 22% every 5 days. W

According to the opponent-process theory, cells that are stimulated by exposure to ________ light are inhibited by exposure to ________ light. yellow; blue red;

Which of the following is the modern counterpart of the journal and diary? A. A speech B. A blog C. A newspaper article D. A magizine article

What is the best explanation of how the evidence connects to the reason? Dangerous chemicals kill off the fish at an alarming rate. Many of these substances, wh

What is 23490*8773737?

Absolute advantage is found by comparing different producers’ a. locational and logistical circumstances. b. input requirements per unit of output. c

jdoe0001 jdoe0001 · Answer 1 · 2017-03-26T22:40:09+02:00

[tex]\bf \cfrac{tan(x)-cot(x)}{sin(x)cos(x)}\implies \cfrac{\frac{sin(x)}{cos(x)}-\frac{cos(x)}{sin(x)}}{sin(x)cos(x)}\implies \cfrac{\frac{sin^2(x)-cos^2(x)}{cos(x)sin(x)}}{\frac{sin(x)cos(x)}{1}} \\\\\\ \cfrac{sin^2(x)-cos^2(x)}{cos(x)sin(x)}\cdot \cfrac{1}{sin(x)cos(x)}\implies \cfrac{sin^2(x)-cos^2(x)}{cos^2(x)sin^2(x)} \\\\\\ \textit{and now, we distribute the denominator} \\\\\\ \cfrac{sin^2(x)}{cos^2(x)sin^2(x)}-\cfrac{cos^2(x)}{cos^2(x)sin^2(x)}\implies \cfrac{1}{cos^2(x)}-\cfrac{1}{sin^2(x)}[/tex]

and surely you know what that is