What is the general solution for sin(x)cot(x)=0.5 ?

The general solution for sin(x)cot(x)=0.5 is x= pi/3+2pin,x=(5pi)/3+2pin

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sin(x)cot(x)=0.5

sin (x) cot (x) = 0.5

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

sin (x) cot (x) = 0.5

Subtract

0.5

from both sides

sin (x) cot (x) - 0.5 = 0

Rewrite using trig identities

- 0.5 + cos (x) = 0

Move

0.5

to the right side

cos (x) = 0.5

General solutions for

cos (x) = 0.5

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

sin (2 x) tan (2 x + 2) = sin (3 x - 1) tan (2 x + 2)

2 sin^{2} (θ) - 7 sin (θ) - 4 = 0

2 tan (x) - 23 = 0

sin^{2} (x) + cos (x) = - 1

2 sin^{2} (\frac{x}{4}) - 3 cos (\frac{x}{4}) = 0

What is the general solution for sin(x)cot(x)=0.5 ?
The general solution for sin(x)cot(x)=0.5 is x= pi/3+2pin,x=(5pi)/3+2pin