Algebra Examples

$\sin (x) \cos (x) = 1$

Step 1

Multiply each term in $\sin (x) \cos (x) = 1$ by $2$ to eliminate the fractions.

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Step 1.1

Multiply each term in $\sin (x) \cos (x) = 1$ by $2$ .

$\sin (x) \cos (x) \cdot 2 = 1 \cdot 2$

Step 1.2

Simplify the left side.

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Step 1.2.1

Reorder $\sin (x) \cos (x)$ and $2$ .

$2 \cdot (\sin (x) \cos (x)) = 1 \cdot 2$

Step 1.2.2

Apply the sine double-angle identity.

$\sin (2 x) = 1 \cdot 2$

Step 1.3

Simplify the right side.

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Step 1.3.1

Multiply $2$ by $1$ .

$\sin (2 x) = 2$

Step 2

The range of sine is $- 1 \leq y \leq 1$ . Since $2$ does not fall in this range, there is no solution.

No solution