Solve sen(2x)=sen[2(90-x)]

Evaluate

se n \times 2 x = se n (2 (90 - x))

Remove the parentheses

se n \times 2 x = se n \times 2 (90 - x)

Multiply the terms

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2 es n x = se n \times 2 (90 - x)

Multiply the terms

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2 es n x = 2 es n (90 - x)

Expand the expression

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2 es n x = 180 es n - 2 es n x

Move the variable to the left side

2 es n x + 2 es n x = 180 es n

Add the terms

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4 es n x = 180 es n

Divide both sides

\frac{4 es n x}{4 es n} = \frac{180 es n}{4 es n}

Divide the numbers

x = \frac{180 es n}{4 es n}

Solution

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x = 45

Solve the equation