What is the general solution for sin^2(x)*cos^2(x)=1 ?

The general solution for sin^2(x)*cos^2(x)=1 is No Solution for x\in\mathbb{R}

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sin^2(x)*cos^2(x)=1

sin^{2} (x) \cdot cos^{2} (x) = 1

No Solution for x \in R

Solution steps

sin^{2} (x) cos^{2} (x) = 1

Subtract

1

from both sides

sin^{2} (x) cos^{2} (x) - 1 = 0

Factor

sin^{2} (x) cos^{2} (x) - 1 : (sin (x) cos (x) + 1) (sin (x) cos (x) - 1)

(sin (x) cos (x) + 1) (sin (x) cos (x) - 1) = 0

Solving each part separately

sin (x) cos (x) + 1 = 0 or sin (x) cos (x) - 1 = 0

sin (x) cos (x) + 1 = 0 :

No Solution

sin (x) cos (x) - 1 = 0 :

No Solution

Combine all the solutions

No Solution for x \in R

5.8 = 11.8 sin (3.78 \cdot t)

- 1 + sin (x) + 2 sin^{2} (x) = 0

\frac{cos ( α - 3 0 ^{\circ} )}{1} = \frac{sin ( 6 0 ^{\circ} )}{3}

tan (x) tan (7 x) = 1, x

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

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