cos A/1-tan A + sin A/1-cot A =sin A + cos A

Question

Seudónimo Seudónimo

24-07-2014
Mathematics

contestada

cos A/1-tan A + sin A/1-cot A =sin A + cos A

Respuesta :

Otras preguntas

List eight life functions that are common to living things??

Find the factor of the following polynomials Box your Final Answer. 6x7+3x4−9x3 [tex]6x7+3x4−9x3[/tex]

Find DE. 3x - 28 3x - 30 X D 6 F 33

[tex]\sqrt{54y^{11}z^{5} }[/tex]

K(n)= n + 2; find k(-6)

How many freed slaves were in the south? I will mark brainliest

What was a direct result of the increasing popular belief in America's manifest destiny? It led to an isolationist policy that separated the United States from

An object falls from a high building from rest. Ignotning air resistance, what will its velocity be after 6 seconds of falling

the residents of a city voted on whether to raise property taxes. the ratio of yes and no votes was 7 to 4. if there were 8679 total votes, how many yes votes w

How many core electrons does dysprosium have?

luana luana · Answer 1 · 2014-07-24T22:38:36+02:00

[tex] \frac{cosA}{ \frac{cosA}{cosA}- \frac{sinA}{cosA}}+ \frac{sinA}{ \frac{sinA}{sinA}- \frac{cosA}{sinA} }=sinA+cosA\\ \frac{cosA}{ \frac{cosA-sinA}{cosA}+ \frac{sinA}{ \frac{sinA-cosA}{sinA} } }=sinA+cosA\\ \frac{ cos^{2}A }{cosA-sinA} }- \frac{sin^{2}A }{cosA-sinA}=sinA+cosA\\ \frac{ cos^{2}A-sin^{2}A }{cosA-sinA}=sinA+cosA\\cos(2A)=(sinA+cosA)(cosA-sinA)\\ cos(2A)=(sinA+cosA)(sinA-cosA)\\cos(2A)=sin^{2}A - cos^{2}A\\cos2A=cos2A \\1=1 [/tex]