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Popular >

solvefor x,sin(2x)*cos(2x)=0.5

Solution

solve for

x, sin (2 x) \cdot cos (2 x) = 0.5

Solution

x = \frac{π}{8} + \frac{πn}{2}

+1

Solution steps

sin (2 x) cos (2 x) = 0.5

Rewrite using trig identities

\frac{sin ( 2 \cdot 2 x )}{2} = 0.5

Multiply both sides by

2

sin (2 \cdot 2 x) = 1

General solutions for

sin (2 \cdot 2 x) = 1

2 \cdot 2 x = \frac{π}{2} + 2 πn

Solve

2 \cdot 2 x = \frac{π}{2} + 2 πn : x = \frac{π}{8} + \frac{πn}{2}

x = \frac{π}{8} + \frac{πn}{2}

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Frequently Asked Questions (FAQ)

What is the general solution for solvefor x,sin(2x)*cos(2x)=0.5 ?
The general solution for solvefor x,sin(2x)*cos(2x)=0.5 is x= pi/8+(pin)/2