What is the general solution for sec(-135)-cot(x)=2 ?

The general solution for sec(-135)-cot(x)=2 is x=2.85666…+180n

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sec(-135)-cot(x)=2

sec (- 13 5^{\circ}) - cot (x) = 2

x = 2.85666 \dots + 18 0^{\circ} n

Solution steps

sec (- 13 5^{\circ}) - cot (x) = 2

sec (- 13 5^{\circ}) = - 2

- 2 - cot (x) = 2

Move

2

to the right side

- cot (x) = 2 + 2

Divide both sides by

- 1

cot (x) = - 2 - 2

Apply trig inverse properties

x = arccot (- 2 - 2) + 18 0^{\circ} n

Show solutions in decimal form

x = 2.85666 \dots + 18 0^{\circ} n

csc (x - 3 0^{\circ}) = 2

- cos^{2} (x) + 4 cos (x) = 0

sin^{2} (x) + 5 cos^{2} (x) = 3

sin (x - \frac{π}{2}) + cos (x + \frac{π}{2}) = 0

\frac{3}{2} = sin (arcsin (0) + c)

What is the general solution for sec(-135)-cot(x)=2 ?
The general solution for sec(-135)-cot(x)=2 is x=2.85666…+180n