Sin 3X 1 2. Solve for x sin (3x)=1/2 sin(3x) = 1 2 sin ( 3 x) = 1 2 Take the inverse sine of both sides of the equation to extract x x from inside the sine 3x = arcsin(1 2) 3 x = arcsin ( 1 2) The exact value of arcsin(1 2) arcsin ( 1 2) is π 6 π 6 3x = π 6 3 x = π 6 Divide each term by 3 3 and simplify.
Solve for x sin (3x)=1/2 sin(3x) = − 1 2 sin ( 3 x) = 1 2 Take the inverse sine of both sides of the equation to extract x x from inside the sine 3x = arcsin(−1 2) 3 x = arcsin ( 1 2) The exact value of arcsin(−1 2) arcsin ( 1 2) is − π 6 π 6 3x = − π 6 3 x = π 6 Divide each term by 3 3 and simplify.
How to solve sin3x=1/2 Quora
Answer (1 of 3) There are often two types of answers for questions like this You did not specifically mention that we are to find all answers between 0 and 2π but since none of the other responses have addressed this twist to the problem I will.
How do you solve sin3x=1/2? Socratic
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Solve for x sin(3x)=1/2 Mathway
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Solve sin(3x) = 1/2 Math, Trigonometry ShowMe
Solve for x sin(3x)=1/2 Mathway
Microsoft Math Solver Solve sin3x=1/2
From angle table You know that sin(30^@)=1/2 In your equation you have sin(3x)=1/2 Since both equations are equal to the same value you can write sin(3x) =sin(30^@) This implies that 3x=30^@ => x = 30^@/3 = 10^@.