01-07-2016
Mathematics

contestada

verify the identity cot(x-pi/2)=-tanx

Respuesta :

NiedzielnyMatematyk NiedzielnyMatematyk

03-07-2016

[tex]\cot(x-\frac{\pi}{2}) = \dfrac{\cos(x-\frac{\pi}{2})}{\sin(x-\frac{\pi}{2})} =\dfrac{\cos(-(\frac{\pi}{2}-x))}{\sin(-(\frac{\pi}{2}-x))} =\dfrac{\cos(\frac{\pi}{2}-x)}{-\sin(\frac{\pi}{2}-x)} =\\=-\dfrac{\sin x}{\cos x} = -\tan x[/tex]

Answer Link

Otras preguntas

When did Japan surrender? A. after the first atomic bomb was dropped B. the day the Soviet Union invaded Manchuria C. the day after Germany and Italy surrendere

Which notation represents an atom of sodium with an atomic number of 11 and a mass number of 24?

In 1832, large towns and cities in Britain received greater representation in Parliament as a result of A. the Great Reform Act. B. the People’s Charter. C. t

a triangle has sides of lengths 10, 24, and 26. is it a right triangle? explain

Naturalized citizens can run for president and vise president?

Jurisprudence is defined as the duties and obligations owed by a citizen the science and philosophy of law the enactment of laws by a government body adjudicati

What is the solution to the proportion? 12/15 = 8/x (Solve for x.) A. 10 B. 12 C. 9 D. 16

A line has a slope of and a y-intercept of −5. Which equations represent the line? Choose all answers that are correct. A.-2+3y=-15 B.y=2/3x-5 C.6y=4x-30

I need answers ASAP.The Coriolis effect is the result of which of the following? A winds spinning off the equator. B. the rotation of the earth on its axis. C

If a motor lifts a 400.-kilogram mass a vertical distance of 10. meters in 8.0 seconds, the minimum power generated by the motor is (1) 3.2 × 10^2 W (3) 4.9 × 1