What is the general solution for 4tan^2(x)+sec(x)=-2tan^2(x)+sec^2(x)-3 ?

The general solution for 4tan^2(x)+sec(x)=-2tan^2(x)+sec^2(x)-3 is No Solution for x\in\mathbb{R}

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4tan^2(x)+sec(x)=-2tan^2(x)+sec^2(x)-3

4 tan^{2} (x) + sec (x) = - 2 tan^{2} (x) + sec^{2} (x) - 3

No Solution for x \in R

Solution steps

4 tan^{2} (x) + sec (x) = - 2 tan^{2} (x) + sec^{2} (x) - 3

Subtract

- 2 tan^{2} (x) + sec^{2} (x) - 3

from both sides

6 tan^{2} (x) + sec (x) - sec^{2} (x) + 3 = 0

Rewrite using trig identities

- 3 + sec (x) + 5 sec^{2} (x) = 0

Solve by substitution

sec (x) = \frac{- 1 + 61}{10}, sec (x) = \frac{- 1 - 61}{10}

sec (x) = \frac{- 1 + 61}{10} :

No Solution

sec (x) = \frac{- 1 - 61}{10} :

No Solution

Combine all the solutions

No Solution for x \in R

sin (α) = 0, 8 y (α) α < 9 0^{\circ}, cos (α)

cos (θ) = \frac{2}{5}, tan (θ), 0 < θ < \frac{π}{2}, π < θ < 2 π

sin (θ) = \frac{13}{14}

7 cot (z) + tan (z) = 7 csc (z)

3 + sin (2 x) = 1 - 6 sin (2 x)

What is the general solution for 4tan^2(x)+sec(x)=-2tan^2(x)+sec^2(x)-3 ?
The general solution for 4tan^2(x)+sec(x)=-2tan^2(x)+sec^2(x)-3 is No Solution for x\in\mathbb{R}