What is the general solution for cos(x)= 60/61 ,tan(x)= 11/60 ?

The general solution for cos(x)= 60/61 ,tan(x)= 11/60 is No Solution for x\in\mathbb{R}

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cos(x)= 60/61 ,tan(x)= 11/60

cos (x) = \frac{60}{61}, tan (x) = \frac{11}{60}

No Solution for x \in R

Solution steps

cos (x) = \frac{60}{61}, tan (x) = \frac{11}{60}

Apply trig inverse properties

cos (x) = \frac{60}{61}

General solutions for

cos (x) = \frac{60}{61}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{60}{61}) + 2 πn, x = 2 π - arccos (\frac{60}{61}) + 2 πn

x = arccos (\frac{60}{61}) + 2 πn, x = 2 π - arccos (\frac{60}{61}) + 2 πn

Solutions for the range

tan (x) = \frac{11}{60}

No Solution for x \in R

sin (x) = - 2 sin (x)

19 cot^{2} (x) - 19 = 0

θ, 2 sin (θ) = csc (θ) + 1

sin^{2} (x) \cdot 2 cos (x) = 2

cos (θ) = \frac{20}{27}

What is the general solution for cos(x)= 60/61 ,tan(x)= 11/60 ?
The general solution for cos(x)= 60/61 ,tan(x)= 11/60 is No Solution for x\in\mathbb{R}