What is the general solution for -1/25+cos^2(x)=1 ?

The general solution for -1/25+cos^2(x)=1 is No Solution for x\in\mathbb{R}

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-1/25+cos^2(x)=1

- \frac{1}{25} + cos^{2} (x) = 1

No Solution for x \in R

Solution steps

- \frac{1}{25} + cos^{2} (x) = 1

Solve by substitution

cos (x) = \frac{26}{5}, cos (x) = - \frac{26}{5}

cos (x) = \frac{26}{5} :

No Solution

cos (x) = - \frac{26}{5} :

No Solution

Combine all the solutions

No Solution for x \in R

sin (3 x) = - 2 cos (3 x)

2 cos (3 x) = 1 + cos (x)

2 csc (x) - 2 = 0

90 = sin (x)

sin (2 x) csc (x) = 1, 0 \leq x \leq 2 π

What is the general solution for -1/25+cos^2(x)=1 ?
The general solution for -1/25+cos^2(x)=1 is No Solution for x\in\mathbb{R}