Find the general solution of the equation \(\tan(x + \frac{\pi}{4}) = \sqrt{3}\).
Oxford AQA International A-level · Further Mathematics (9665)
Trigonometry:练习题
5 道选择题即时批改,另有 3 道文字题附完整解题步骤,全部围绕「Trigonometry」。
Given that \(\cos(x + \frac{\pi}{6}) = -\frac{1}{\sqrt{2}}\), find the general solution for \(x\).
Determine the general solution of the equation \(\cos 3x = \frac{1}{2}\).
Determine the general solution of the equation \(\cos(2x - \frac{\pi}{4}) = \frac{\sqrt{3}}{2}\).
Find the general solution of the equation \(\sin 2x = \frac{\sqrt{3}}{2}\).
Solve the trigonometric equation \(\sin 2x = \cos x\) for the interval \(0 \leq x \leq \pi\).
先自己写一遍答案,再对照解题步骤。
Find the general solution of the equation \(\sin(3x) = 0.4\).
Give your answer in radians to three decimal places.
先自己写一遍答案,再对照解题步骤。
(a) Find the principal value of the equation \(\sin\left(2x - \frac{\pi}{4}\right) = 0.6\), giving your answer in radians to four decimal places.
(b) Hence, find the general solution for \(x\).
先自己写一遍答案,再对照解题步骤。
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