178k views
0 votes
What are solutions to the equation sinx cosx = square root 3 over4

1 Answer

6 votes

\sin(x)\cos(x)=(√(3))/(4)\\\\2\sin(x)\cos(x)=(√(3))/(2)\\\\\sin(2x)=(√(3))/(2)\\\\2x=\arcsin\left( (√(3))/(2) \right)\\\\2x=\left\{ (\pi)/(3),(2\pi)/(3)\right\}+2n\pi\\\\\boxed{x=\left\{ (\pi)/(6),(\pi)/(3)\right\}+n\pi}
What are solutions to the equation sinx cosx = square root 3 over4-example-1
User Yannick Wurm
by
8.0k points

Related questions

2 answers
0 votes
79.0k views
asked May 11, 2023 75.0k views
BitLooter asked May 11, 2023
by BitLooter
8.2k points
1 answer
15 votes
75.0k views