Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Solve the equation sinā”x=1secā”x\sin x = \frac{1}{\sec x}sinx=secx1ā for 0ā¤xā¤2Ļ0 \le x \le 2\pi0ā¤xā¤2Ļ.
Solve the equation cosā”x=tanā”x\cos x = \tan xcosx=tanx for 0<x<Ļ0 < x < \pi0<x<Ļ.
Solve the equation sinā”2x=2cosā”x\sin2x = 2\cos xsin2x=2cosx for 0<x<Ļ0 < x < \pi0<x<Ļ.
Solve the equation 2cscā”x=sinā”x2\csc x = \sin x2cscx=sinx for 0<x<2Ļ0 < x < 2\pi0<x<2Ļ.
Solve the equation secā”2xātanā”2x=3\sec^2 x - \tan^2 x = 3sec2xātan2x=3 for 0<x<Ļ20 < x < \frac{\pi}{2}0<x<2Ļā.
Solve the equation 3secā”xā4cosā”x=03\sec x - 4\cos x = 03secxā4cosx=0 for 0ā¤x<2Ļ0 \le x < 2\pi0ā¤x<2Ļ.
Solve the equation tanā”x=3cscā”x\tan x = 3\csc xtanx=3cscx for 0<x<Ļ0 < x < \pi0<x<Ļ.
Solve the equation 2sinā”x=secā”x2\sin x = \sec x2sinx=secx for 0<x<2Ļ0 < x < 2\pi0<x<2Ļ.
Solve the equation secā”x+tanā”x=2\sec x + \tan x = 2secx+tanx=2 for 0ā¤x<2Ļ0 \le x < 2\pi0ā¤x<2Ļ.
Solve the equation cotā”x+tanā”x=1\cot x + \tan x = 1cotx+tanx=1 for 0<x<Ļ20 < x < \frac{\pi}{2}0<x<2Ļā.
Solve the equation 4sinā”2x=Ļsecā”2x4\sin2x = \pi\sec2x4sin2x=Ļsec2x for 0<x<Ļ20 < x < \frac{\pi}{2}0<x<2Ļā.
Solve the equation cscā”xāsinā”x=2\csc x - \sin x = 2cscxāsinx=2 for 0<x<Ļ0 < x < \pi0<x<Ļ.
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Question Type 1: Solving trigonometric equations using reciprocal functions
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Question Type 3: Solving inverse trigonometric functions using the triangle method