Find sin θ if cot θ = - 4 and cos θ < 0.

sin θ = 0.2426.

Step-by-step explanation:

The cot and cos are both negative in the second quadrant.

cot θ = 1 / tan θ = -4 so tan θ = -1/4.

θ =  165.96 degrees

sin θ = 0.2426.

sin θ = √17 / 17

Step-by-step explanation:

Pythagorean identity:

1 + cot² θ = csc² θ

1 + (-4)² = csc² θ

17 = csc² θ

csc θ = ±√17

sin θ = ±1 / √17

cot θ < 0 and cos θ < 0, so θ is in the second quadrant.  Therefore, sin θ > 0.

sin θ = 1 / √17

Or, as a proper fraction:

sin θ = √17 / 17

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.