What is the general solution for sin(x)cot(x)csc(x)=sqrt(2) ?

The general solution for sin(x)cot(x)csc(x)=sqrt(2) is x=0.61547…+pin

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sin(x)cot(x)csc(x)=sqrt(2)

sin (x) cot (x) csc (x) = 2

x = 0.61547 \dots + πn

Solution steps

sin (x) cot (x) csc (x) = 2

Rewrite using trig identities

cot (x) \cdot 1 = 2

Multiply:

cot (x) \cdot 1 = cot (x)

cot (x) = 2

Apply trig inverse properties

x = arccot (2) + πn

Show solutions in decimal form

x = 0.61547 \dots + πn

cos (2 x) + 4 cos (x) = - 3

1 = 2 cos (2 x)

cos (\frac{π}{6}) = sin (x)

cos (θ) = - \frac{9}{10}

arctan (x) = \frac{1}{2}

What is the general solution for sin(x)cot(x)csc(x)=sqrt(2) ?
The general solution for sin(x)cot(x)csc(x)=sqrt(2) is x=0.61547…+pin