2019年7月23日 · Given that sin x = √2/2, and 90<x<180, this means that the angle, x, is 135 degrees. And it is in the 2nd quadrant. If take 135/2 we find that x/2 = 67.5 degrees so x/2 is in the 1st quadrant. The tan(x/2) is either positive or negative, and knowing that x/2 is in the first quadrant, we now know to use the PLUS outside of the radicals.

2015年3月5日 · Since the result is 2, it must mean that the opposite side divided by the djacent side equals 2. This only occurs whens the oppostie side is twice the adjacent side. Therefore it must be at an angle of 30 degrees.

2012年11月18日 · Angel's answer is generally correct, if a bit confusing. I would have said it this way: think of (sin 2 x - sin 2 x cos 2 x) as (a - ab) where a=sin 2 x and b=cos 2 x. Now, when 'factoring out' we are looking for an expression that is common in both terms 'a' and 'ab'. The common term is simply 'a', so we can factor it out.

2014年10月6日 · If tan(x) = 2, the x = 63.435°. cos(2x) = cos(2·63.435°) = cos(126.870°) = -0.6 This can also be done without a calculator, if you need that explanation, please repost.

2020年4月11日 · I'm guessing because I don't know if Tan(x) = -4/3 or is = -4 3 so I'm using the first assumption = -4/3. This would make a 3:4:5 triangle in the 4th quadrant, so it would be x=4,y=-3, hypotenuse = 5. Then I'm assuming sin x 2 is Sin(x) 2. So Sin(x) 2 = (-3/5) 2 = 9/25 = 0.36. Cos(x) 2 = (4/5) 2 = 16/25 = 0.64. Tan(x) 2 = (-3/4) 2 9/16 = 0.5625

2020年10月29日 · tan(x)[1 - 2sin(x)] = 0. Using the zero product rule, set each of the factors equal to zero to solve. a) tan(x) = 0 which has the solution x = 0 or x = π on the interval given. b) 1 - 2sin(x) = 0 or sin(x) = 1/2 which has the solution x = π/6 and x = 5π/6 on the interval given. So the solutions are x = 0, π/6, 5π/6, and π

2019年7月24日 · sin 2 (x) = 400/841. sin(x) = ±20/29. Note that the above gives two possible values for sin(x), but since 0° < x < 90° (x is in the first quadrant), we choose the positive value. That is, sin(x) = 20/29. Now we see that. tan(x) = sin(x)/cos(x) = [20/29]/[21/29] tan(x) = 20/21. Now use the double angle formula for tangent. tan(2x) = 2tan(x ...

2016年6月9日 · 1-tan^2(x) = 1 - (sin 2 x)/(cos 2 x) = [cos 2 x - sin 2 x]/cos 2 x = [cos 2x]/cos 2 x is a posibly 'simplified' version in that it has been boiled down to only cosines.

2016年7月17日 · Once you get the angle in degrees, realize that you have x/2 as the angle of the tangent, so whatever the degree is, it is equal to x/2. In other words, the angle you get is only half of angle x. If you get 30º, that is equal to x/2 so x must be 60º.

2015年2月6日 · Free Online Scientific Notation Calculator. Solve advanced problems in Physics, Mathematics and Engineering. Math Expression Renderer, Plots, Unit Converter, Equation Solver, Complex Numbers, Calculation Histo