Will mark the ! lots of now find the following ( give the exact value where appropriate) a) cos (arctan (1))= and the angle is in quadrant 111 b) sin (arccos (1/2)= if the angle is in quadrant iv

cos (arctan (1))=

arctan (1) = 45   take it to the third quadrant = add 180  = 225

cos (225) = -1 / sqrt(2)

            never leave a sqrt in the denominator

     = -1 /sqrt(2) * sqrt(2)/sqrt(2)

   = -sqrt(2)/2

sin (arccos (1/2)

arccos (1/2) = 60    take it to the 4th quadrant   -60 degrees

sin (-60)

- sin 60

- sqrt(3)/2

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.