What is the general solution for sin(x)= 5/13 ,cos(x) ?

The general solution for sin(x)= 5/13 ,cos(x) is No Solution for x\in\mathbb{R}

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sin(x)= 5/13 ,cos(x)

sin (x) = \frac{5}{13}, cos (x)

No Solution for x \in R

Solution steps

sin (x) = \frac{5}{13}, cos (x)

Apply trig inverse properties

sin (x) = \frac{5}{13}

General solutions for

sin (x) = \frac{5}{13}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{5}{13}) + 2 πn, x = π - arcsin (\frac{5}{13}) + 2 πn

x = arcsin (\frac{5}{13}) + 2 πn, x = π - arcsin (\frac{5}{13}) + 2 πn

Solutions for the range

cos (x)

No Solution for x \in R

tan (θ) = \frac{11.9}{10}

tanh (x) = \frac{3}{5}

csc (θ) + 2.402 = 0

tan^{2} (β) = 1

6 sin (C) + 8 = 0

What is the general solution for sin(x)= 5/13 ,cos(x) ?
The general solution for sin(x)= 5/13 ,cos(x) is No Solution for x\in\mathbb{R}