Take the inverse sine of both sides of the equation to extract x x from inside the sine. Simplify the right side. Tap for more steps... Divide each term in 2x = π 6 2 x = π 6 by 2 2 and simplify. Tap for more steps... The sine function is positive in the first and second quadrants.

Take the specified root of both sides of the equation to eliminate the exponent on the left side. sin(x) = ±√1 2 sin (x) = ± 1 2. Simplify ±√1 2 ± 1 2. Tap for more steps... sin(x) = ± √2 2 sin (x) = ± 2 2. The complete solution is the result of both the positive and negative portions of the solution. Tap for more steps...

What is the general solution for sin (2x)= 1/2 ?

To solve a trigonometric simplify the equation using trigonometric identities. Then, write the equation in a standard form, and isolate the variable using algebraic manipulation to solve for …

In basic trigonometry computes sine, cosine, tangent, and their reciprocal. Calculates arcsin, arccos, and arctan values inside inverse trigonometric equations. Trigonometric identities solves extremely difficult trigonometric problems. Conversions of Angles converts radian to degree scale.

2016年9月9日 · sin 2x = 1/2 Trig table and trig unit circle give 2 solution arcs: a. #2x = pi/6 + 2kpi#--> #x = pi/12 + kpi# b. #2x = pi - pi/6 = (5pi)/6 + 2kpi#--> #x = (5pi)/12 + kpi#

2017年12月2日 · sin2x = − 1 2. since sin2x <0 then x in third/fourth quadrants. ⇒ 2x = π 6 ← related acute angle. note → 0 ≤ 2x ≤ 4π. 2x = 7π 6, 11π 6, 19π 6, 31π 6. ⇒ x = 7π 12 or 11π 12 or 19π 12 or 31π 12.

How to Solve for x in the equation \sin(2x) = -\frac{1}{2} within the interval of [0, 2\pi]?

2016年9月12日 · #sin^2(2x) = 1/2# #sin(2x) = +-1/sqrt(2)# #2x = +-sin^-1(1/sqrt(2))# #2x = 135˚, 45˚, 225˚, 315˚# #x = 67.5˚, 22.5˚, 112.5˚ and 157.5˚# Hopefully this helps!

二倍角公式 大家都知道 \cos 2\theta=\cos^2\theta-\sin^2\theta \sin2\theta=2\sin\theta\cos\theta \tan2\theta=\cfrac{2\tan\theta}{1-\tan^2\theta} 三倍角公式 或许大家也见过 \cos3x=\cos^3x-3\cos x\sin^2x